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Finding the Fourth Proportional to 3,859.92, 5,790.96 and 1,264.68

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Solution

The fourth proportional to 3,859.92, 5,790.96 and 1,264.68 is: 1,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.92 : 5,790.96 = 1,264.68 : x
  2. Step 2: Convert to fraction form
    3,859.92/5,790.96 = 1,264.68/x
  3. Step 3: Cross multiply
    3,859.92x = 5,790.96 × 1,264.68
  4. Step 4: Simplify right side
    3,859.92x = 7,323,711.29
  5. Step 5: Solve for x
    x = 7,323,711.29/3,859.92
  6. Step 6: Final answer
    x = 1,897.37

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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.