Home / 31,904-47,856.41-11,127.50

Finding the Fourth Proportional to 31,904, 47,856.41 and 11,127.50

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Solution

The fourth proportional to 31,904, 47,856.41 and 11,127.50 is: 16,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904 : 47,856.41 = 11,127.50 : x
  2. Step 2: Convert to fraction form
    31,904/47,856.41 = 11,127.50/x
  3. Step 3: Cross multiply
    31,904x = 47,856.41 × 11,127.50
  4. Step 4: Simplify right side
    31,904x = 532,522,202.28
  5. Step 5: Solve for x
    x = 532,522,202.28/31,904
  6. Step 6: Final answer
    x = 16,691.39

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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.