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Finding the Fourth Proportional to 31,473, 47,217.60 and 11,751.69

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Solution

The fourth proportional to 31,473, 47,217.60 and 11,751.69 is: 17,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,473 : 47,217.60 = 11,751.69 : x
  2. Step 2: Convert to fraction form
    31,473/47,217.60 = 11,751.69/x
  3. Step 3: Cross multiply
    31,473x = 47,217.60 × 11,751.69
  4. Step 4: Simplify right side
    31,473x = 554,886,597.74
  5. Step 5: Solve for x
    x = 554,886,597.74/31,473
  6. Step 6: Final answer
    x = 17,630.56

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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.