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Finding the Fourth Proportional to 15,714.99, 21,691.78 and 10,064.95

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Solution

The fourth proportional to 15,714.99, 21,691.78 and 10,064.95 is: 13,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.99 : 21,691.78 = 10,064.95 : x
  2. Step 2: Convert to fraction form
    15,714.99/21,691.78 = 10,064.95/x
  3. Step 3: Cross multiply
    15,714.99x = 21,691.78 × 10,064.95
  4. Step 4: Simplify right side
    15,714.99x = 218,326,601.72
  5. Step 5: Solve for x
    x = 218,326,601.72/15,714.99
  6. Step 6: Final answer
    x = 13,892.89

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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.