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Finding the Fourth Proportional to 14,878.16, 20,532.20 and 8,417.28

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Solution

The fourth proportional to 14,878.16, 20,532.20 and 8,417.28 is: 11,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.16 : 20,532.20 = 8,417.28 : x
  2. Step 2: Convert to fraction form
    14,878.16/20,532.20 = 8,417.28/x
  3. Step 3: Cross multiply
    14,878.16x = 20,532.20 × 8,417.28
  4. Step 4: Simplify right side
    14,878.16x = 172,825,276.42
  5. Step 5: Solve for x
    x = 172,825,276.42/14,878.16
  6. Step 6: Final answer
    x = 11,616.04

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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.