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Finding the Fourth Proportional to 22,638.81, 31,242.10 and 12,702.81

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Solution

The fourth proportional to 22,638.81, 31,242.10 and 12,702.81 is: 17,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.81 : 31,242.10 = 12,702.81 : x
  2. Step 2: Convert to fraction form
    22,638.81/31,242.10 = 12,702.81/x
  3. Step 3: Cross multiply
    22,638.81x = 31,242.10 × 12,702.81
  4. Step 4: Simplify right side
    22,638.81x = 396,862,460.30
  5. Step 5: Solve for x
    x = 396,862,460.30/22,638.81
  6. Step 6: Final answer
    x = 17,530.18

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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.