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Finding the Fourth Proportional to 8,607.84, 11,865 and 6,480.24

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Solution

The fourth proportional to 8,607.84, 11,865 and 6,480.24 is: 8,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,607.84 : 11,865 = 6,480.24 : x
  2. Step 2: Convert to fraction form
    8,607.84/11,865 = 6,480.24/x
  3. Step 3: Cross multiply
    8,607.84x = 11,865 × 6,480.24
  4. Step 4: Simplify right side
    8,607.84x = 76,888,047.60
  5. Step 5: Solve for x
    x = 76,888,047.60/8,607.84
  6. Step 6: Final answer
    x = 8,932.33

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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.