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Finding the Fourth Proportional to 3,572.57, 4,927.44 and 3,129.71

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Solution

The fourth proportional to 3,572.57, 4,927.44 and 3,129.71 is: 4,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.57 : 4,927.44 = 3,129.71 : x
  2. Step 2: Convert to fraction form
    3,572.57/4,927.44 = 3,129.71/x
  3. Step 3: Cross multiply
    3,572.57x = 4,927.44 × 3,129.71
  4. Step 4: Simplify right side
    3,572.57x = 15,421,433.61
  5. Step 5: Solve for x
    x = 15,421,433.61/3,572.57
  6. Step 6: Final answer
    x = 4,316.62

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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.