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Finding the Fourth Proportional to 9,507.94, 13,121.10 and 5,259.22

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Solution

The fourth proportional to 9,507.94, 13,121.10 and 5,259.22 is: 7,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.94 : 13,121.10 = 5,259.22 : x
  2. Step 2: Convert to fraction form
    9,507.94/13,121.10 = 5,259.22/x
  3. Step 3: Cross multiply
    9,507.94x = 13,121.10 × 5,259.22
  4. Step 4: Simplify right side
    9,507.94x = 69,006,751.54
  5. Step 5: Solve for x
    x = 69,006,751.54/9,507.94
  6. Step 6: Final answer
    x = 7,257.80

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Half scale
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Double scale
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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.