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Finding the Fourth Proportional to 8,772.64, 12,109.60 and 5,416

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Solution

The fourth proportional to 8,772.64, 12,109.60 and 5,416 is: 7,476.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772.64 : 12,109.60 = 5,416 : x
  2. Step 2: Convert to fraction form
    8,772.64/12,109.60 = 5,416/x
  3. Step 3: Cross multiply
    8,772.64x = 12,109.60 × 5,416
  4. Step 4: Simplify right side
    8,772.64x = 65,585,593.60
  5. Step 5: Solve for x
    x = 65,585,593.60/8,772.64
  6. Step 6: Final answer
    x = 7,476.15

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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.