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Finding the Fourth Proportional to 21,714.65, 29,966.95 and 12,762.02

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Solution

The fourth proportional to 21,714.65, 29,966.95 and 12,762.02 is: 17,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.65 : 29,966.95 = 12,762.02 : x
  2. Step 2: Convert to fraction form
    21,714.65/29,966.95 = 12,762.02/x
  3. Step 3: Cross multiply
    21,714.65x = 29,966.95 × 12,762.02
  4. Step 4: Simplify right side
    21,714.65x = 382,438,906.11
  5. Step 5: Solve for x
    x = 382,438,906.11/21,714.65
  6. Step 6: Final answer
    x = 17,612.02

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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.