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Finding the Fourth Proportional to 5,187.71, 7,761.22 and 4,008.76

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Solution

The fourth proportional to 5,187.71, 7,761.22 and 4,008.76 is: 5,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.71 : 7,761.22 = 4,008.76 : x
  2. Step 2: Convert to fraction form
    5,187.71/7,761.22 = 4,008.76/x
  3. Step 3: Cross multiply
    5,187.71x = 7,761.22 × 4,008.76
  4. Step 4: Simplify right side
    5,187.71x = 31,112,838.86
  5. Step 5: Solve for x
    x = 31,112,838.86/5,187.71
  6. Step 6: Final answer
    x = 5,997.41

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1.5x scale

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.