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Finding the Fourth Proportional to 31,355.04, 47,039.52 and 10,578

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Solution

The fourth proportional to 31,355.04, 47,039.52 and 10,578 is: 15,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,355.04 : 47,039.52 = 10,578 : x
  2. Step 2: Convert to fraction form
    31,355.04/47,039.52 = 10,578/x
  3. Step 3: Cross multiply
    31,355.04x = 47,039.52 × 10,578
  4. Step 4: Simplify right side
    31,355.04x = 497,584,042.56
  5. Step 5: Solve for x
    x = 497,584,042.56/31,355.04
  6. Step 6: Final answer
    x = 15,869.35

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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.