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Finding the Fourth Proportional to 10,572.46, 15,865.88 and 5,645.63

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Solution

The fourth proportional to 10,572.46, 15,865.88 and 5,645.63 is: 8,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.46 : 15,865.88 = 5,645.63 : x
  2. Step 2: Convert to fraction form
    10,572.46/15,865.88 = 5,645.63/x
  3. Step 3: Cross multiply
    10,572.46x = 15,865.88 × 5,645.63
  4. Step 4: Simplify right side
    10,572.46x = 89,572,899.54
  5. Step 5: Solve for x
    x = 89,572,899.54/10,572.46
  6. Step 6: Final answer
    x = 8,472.29

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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.