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Finding the Fourth Proportional to 31,578, 47,341.32 and 12,866.76

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Solution

The fourth proportional to 31,578, 47,341.32 and 12,866.76 is: 19,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578 : 47,341.32 = 12,866.76 : x
  2. Step 2: Convert to fraction form
    31,578/47,341.32 = 12,866.76/x
  3. Step 3: Cross multiply
    31,578x = 47,341.32 × 12,866.76
  4. Step 4: Simplify right side
    31,578x = 609,129,402.52
  5. Step 5: Solve for x
    x = 609,129,402.52/31,578
  6. Step 6: Final answer
    x = 19,289.68

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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.