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Finding the Fourth Proportional to 31,697.76, 47,509.38 and 12,966.11

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Solution

The fourth proportional to 31,697.76, 47,509.38 and 12,966.11 is: 19,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.76 : 47,509.38 = 12,966.11 : x
  2. Step 2: Convert to fraction form
    31,697.76/47,509.38 = 12,966.11/x
  3. Step 3: Cross multiply
    31,697.76x = 47,509.38 × 12,966.11
  4. Step 4: Simplify right side
    31,697.76x = 616,011,609.56
  5. Step 5: Solve for x
    x = 616,011,609.56/31,697.76
  6. Step 6: Final answer
    x = 19,433.92

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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.