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Finding the Fourth Proportional to 5,287.93, 7,930.27 and 1,391.83

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Solution

The fourth proportional to 5,287.93, 7,930.27 and 1,391.83 is: 2,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.93 : 7,930.27 = 1,391.83 : x
  2. Step 2: Convert to fraction form
    5,287.93/7,930.27 = 1,391.83/x
  3. Step 3: Cross multiply
    5,287.93x = 7,930.27 × 1,391.83
  4. Step 4: Simplify right side
    5,287.93x = 11,037,569.61
  5. Step 5: Solve for x
    x = 11,037,569.61/5,287.93
  6. Step 6: Final answer
    x = 2,087.31

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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.