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Finding the Fourth Proportional to 14,937.64, 20,613.12 and 8,223.88

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Solution

The fourth proportional to 14,937.64, 20,613.12 and 8,223.88 is: 11,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,937.64 : 20,613.12 = 8,223.88 : x
  2. Step 2: Convert to fraction form
    14,937.64/20,613.12 = 8,223.88/x
  3. Step 3: Cross multiply
    14,937.64x = 20,613.12 × 8,223.88
  4. Step 4: Simplify right side
    14,937.64x = 169,519,825.31
  5. Step 5: Solve for x
    x = 169,519,825.31/14,937.64
  6. Step 6: Final answer
    x = 11,348.50

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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.