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Finding the Fourth Proportional to 22,424.64, 30,920.16 and 14,877.12

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Solution

The fourth proportional to 22,424.64, 30,920.16 and 14,877.12 is: 20,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424.64 : 30,920.16 = 14,877.12 : x
  2. Step 2: Convert to fraction form
    22,424.64/30,920.16 = 14,877.12/x
  3. Step 3: Cross multiply
    22,424.64x = 30,920.16 × 14,877.12
  4. Step 4: Simplify right side
    22,424.64x = 460,002,930.74
  5. Step 5: Solve for x
    x = 460,002,930.74/22,424.64
  6. Step 6: Final answer
    x = 20,513.28

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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.