Home / 20,761.83-31,140-7,612.47

Finding the Fourth Proportional to 20,761.83, 31,140 and 7,612.47

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Solution

The fourth proportional to 20,761.83, 31,140 and 7,612.47 is: 11,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.83 : 31,140 = 7,612.47 : x
  2. Step 2: Convert to fraction form
    20,761.83/31,140 = 7,612.47/x
  3. Step 3: Cross multiply
    20,761.83x = 31,140 × 7,612.47
  4. Step 4: Simplify right side
    20,761.83x = 237,052,315.80
  5. Step 5: Solve for x
    x = 237,052,315.80/20,761.83
  6. Step 6: Final answer
    x = 11,417.70

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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.