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Finding the Fourth Proportional to 15,714.52, 21,684.74 and 9,253.13

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Solution

The fourth proportional to 15,714.52, 21,684.74 and 9,253.13 is: 12,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.52 : 21,684.74 = 9,253.13 : x
  2. Step 2: Convert to fraction form
    15,714.52/21,684.74 = 9,253.13/x
  3. Step 3: Cross multiply
    15,714.52x = 21,684.74 × 9,253.13
  4. Step 4: Simplify right side
    15,714.52x = 200,651,718.24
  5. Step 5: Solve for x
    x = 200,651,718.24/15,714.52
  6. Step 6: Final answer
    x = 12,768.56

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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.