Home / 31,371.64-47,044.90-13,829

Finding the Fourth Proportional to 31,371.64, 47,044.90 and 13,829

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Solution

The fourth proportional to 31,371.64, 47,044.90 and 13,829 is: 20,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,371.64 : 47,044.90 = 13,829 : x
  2. Step 2: Convert to fraction form
    31,371.64/47,044.90 = 13,829/x
  3. Step 3: Cross multiply
    31,371.64x = 47,044.90 × 13,829
  4. Step 4: Simplify right side
    31,371.64x = 650,583,922.10
  5. Step 5: Solve for x
    x = 650,583,922.10/31,371.64
  6. Step 6: Final answer
    x = 20,737.96

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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.