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Finding the Fourth Proportional to 15,702.72, 21,671.04 and 9,414.96

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Solution

The fourth proportional to 15,702.72, 21,671.04 and 9,414.96 is: 12,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.72 : 21,671.04 = 9,414.96 : x
  2. Step 2: Convert to fraction form
    15,702.72/21,671.04 = 9,414.96/x
  3. Step 3: Cross multiply
    15,702.72x = 21,671.04 × 9,414.96
  4. Step 4: Simplify right side
    15,702.72x = 204,031,974.76
  5. Step 5: Solve for x
    x = 204,031,974.76/15,702.72
  6. Step 6: Final answer
    x = 12,993.42

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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.