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Finding the Fourth Proportional to 31,474.72, 47,219.12 and 9,287.20

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Solution

The fourth proportional to 31,474.72, 47,219.12 and 9,287.20 is: 13,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,474.72 : 47,219.12 = 9,287.20 : x
  2. Step 2: Convert to fraction form
    31,474.72/47,219.12 = 9,287.20/x
  3. Step 3: Cross multiply
    31,474.72x = 47,219.12 × 9,287.20
  4. Step 4: Simplify right side
    31,474.72x = 438,533,411.26
  5. Step 5: Solve for x
    x = 438,533,411.26/31,474.72
  6. Step 6: Final answer
    x = 13,932.88

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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.