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Finding the Fourth Proportional to 31,432.91, 47,147.94 and 9,247.01

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Solution

The fourth proportional to 31,432.91, 47,147.94 and 9,247.01 is: 13,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,432.91 : 47,147.94 = 9,247.01 : x
  2. Step 2: Convert to fraction form
    31,432.91/47,147.94 = 9,247.01/x
  3. Step 3: Cross multiply
    31,432.91x = 47,147.94 × 9,247.01
  4. Step 4: Simplify right side
    31,432.91x = 435,977,236.92
  5. Step 5: Solve for x
    x = 435,977,236.92/31,432.91
  6. Step 6: Final answer
    x = 13,870.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.