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Finding the Fourth Proportional to 21,714.50, 29,966.02 and 12,282.86

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Solution

The fourth proportional to 21,714.50, 29,966.02 and 12,282.86 is: 16,950.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.50 : 29,966.02 = 12,282.86 : x
  2. Step 2: Convert to fraction form
    21,714.50/29,966.02 = 12,282.86/x
  3. Step 3: Cross multiply
    21,714.50x = 29,966.02 × 12,282.86
  4. Step 4: Simplify right side
    21,714.50x = 368,068,428.42
  5. Step 5: Solve for x
    x = 368,068,428.42/21,714.50
  6. Step 6: Final answer
    x = 16,950.35

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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.