Home / 31,375.18-47,078.16-13,824.10

Finding the Fourth Proportional to 31,375.18, 47,078.16 and 13,824.10

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Solution

The fourth proportional to 31,375.18, 47,078.16 and 13,824.10 is: 20,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.18 : 47,078.16 = 13,824.10 : x
  2. Step 2: Convert to fraction form
    31,375.18/47,078.16 = 13,824.10/x
  3. Step 3: Cross multiply
    31,375.18x = 47,078.16 × 13,824.10
  4. Step 4: Simplify right side
    31,375.18x = 650,813,191.66
  5. Step 5: Solve for x
    x = 650,813,191.66/31,375.18
  6. Step 6: Final answer
    x = 20,742.93

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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.