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Finding the Fourth Proportional to 22,714.40, 31,347.84 and 12,646.40

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Solution

The fourth proportional to 22,714.40, 31,347.84 and 12,646.40 is: 17,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.40 : 31,347.84 = 12,646.40 : x
  2. Step 2: Convert to fraction form
    22,714.40/31,347.84 = 12,646.40/x
  3. Step 3: Cross multiply
    22,714.40x = 31,347.84 × 12,646.40
  4. Step 4: Simplify right side
    22,714.40x = 396,437,323.78
  5. Step 5: Solve for x
    x = 396,437,323.78/22,714.40
  6. Step 6: Final answer
    x = 17,453.13

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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.