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Finding the Fourth Proportional to 31,392.03, 47,080.74 and 11,679.87

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Solution

The fourth proportional to 31,392.03, 47,080.74 and 11,679.87 is: 17,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,392.03 : 47,080.74 = 11,679.87 : x
  2. Step 2: Convert to fraction form
    31,392.03/47,080.74 = 11,679.87/x
  3. Step 3: Cross multiply
    31,392.03x = 47,080.74 × 11,679.87
  4. Step 4: Simplify right side
    31,392.03x = 549,896,922.70
  5. Step 5: Solve for x
    x = 549,896,922.70/31,392.03
  6. Step 6: Final answer
    x = 17,517.09

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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.