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Finding the Fourth Proportional to 15,712.70, 21,680.90 and 10,414.70

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Solution

The fourth proportional to 15,712.70, 21,680.90 and 10,414.70 is: 14,370.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.70 : 21,680.90 = 10,414.70 : x
  2. Step 2: Convert to fraction form
    15,712.70/21,680.90 = 10,414.70/x
  3. Step 3: Cross multiply
    15,712.70x = 21,680.90 × 10,414.70
  4. Step 4: Simplify right side
    15,712.70x = 225,800,069.23
  5. Step 5: Solve for x
    x = 225,800,069.23/15,712.70
  6. Step 6: Final answer
    x = 14,370.55

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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.