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Finding the Fourth Proportional to 9,509.96, 13,119.72 and 6,367.16

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Solution

The fourth proportional to 9,509.96, 13,119.72 and 6,367.16 is: 8,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.96 : 13,119.72 = 6,367.16 : x
  2. Step 2: Convert to fraction form
    9,509.96/13,119.72 = 6,367.16/x
  3. Step 3: Cross multiply
    9,509.96x = 13,119.72 × 6,367.16
  4. Step 4: Simplify right side
    9,509.96x = 83,535,356.40
  5. Step 5: Solve for x
    x = 83,535,356.40/9,509.96
  6. Step 6: Final answer
    x = 8,783.99

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.