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Finding the Fourth Proportional to 31,474.76, 47,212.30 and 12,755.16

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Solution

The fourth proportional to 31,474.76, 47,212.30 and 12,755.16 is: 19,132.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.76 : 47,212.30 = 12,755.16 : x
  2. Step 2: Convert to fraction form
    31,474.76/47,212.30 = 12,755.16/x
  3. Step 3: Cross multiply
    31,474.76x = 47,212.30 × 12,755.16
  4. Step 4: Simplify right side
    31,474.76x = 602,200,440.47
  5. Step 5: Solve for x
    x = 602,200,440.47/31,474.76
  6. Step 6: Final answer
    x = 19,132.80

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1.5x scale

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.