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Finding the Fourth Proportional to 16,320.64, 22,522.64 and 9,246.88

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Solution

The fourth proportional to 16,320.64, 22,522.64 and 9,246.88 is: 12,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,320.64 : 22,522.64 = 9,246.88 : x
  2. Step 2: Convert to fraction form
    16,320.64/22,522.64 = 9,246.88/x
  3. Step 3: Cross multiply
    16,320.64x = 22,522.64 × 9,246.88
  4. Step 4: Simplify right side
    16,320.64x = 208,264,149.36
  5. Step 5: Solve for x
    x = 208,264,149.36/16,320.64
  6. Step 6: Final answer
    x = 12,760.78

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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.