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Finding the Fourth Proportional to 5,174.92, 7,761.58 and 1,888

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Solution

The fourth proportional to 5,174.92, 7,761.58 and 1,888 is: 2,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.92 : 7,761.58 = 1,888 : x
  2. Step 2: Convert to fraction form
    5,174.92/7,761.58 = 1,888/x
  3. Step 3: Cross multiply
    5,174.92x = 7,761.58 × 1,888
  4. Step 4: Simplify right side
    5,174.92x = 14,653,863.04
  5. Step 5: Solve for x
    x = 14,653,863.04/5,174.92
  6. Step 6: Final answer
    x = 2,831.71

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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.