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Finding the Fourth Proportional to 10,508.70, 15,741.51 and 8,417.39

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Solution

The fourth proportional to 10,508.70, 15,741.51 and 8,417.39 is: 12,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.70 : 15,741.51 = 8,417.39 : x
  2. Step 2: Convert to fraction form
    10,508.70/15,741.51 = 8,417.39/x
  3. Step 3: Cross multiply
    10,508.70x = 15,741.51 × 8,417.39
  4. Step 4: Simplify right side
    10,508.70x = 132,502,318.59
  5. Step 5: Solve for x
    x = 132,502,318.59/10,508.70
  6. Step 6: Final answer
    x = 12,608.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.