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Finding the Fourth Proportional to 5,767.68, 7,957.72 and 3,881.39

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Solution

The fourth proportional to 5,767.68, 7,957.72 and 3,881.39 is: 5,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.68 : 7,957.72 = 3,881.39 : x
  2. Step 2: Convert to fraction form
    5,767.68/7,957.72 = 3,881.39/x
  3. Step 3: Cross multiply
    5,767.68x = 7,957.72 × 3,881.39
  4. Step 4: Simplify right side
    5,767.68x = 30,887,036.12
  5. Step 5: Solve for x
    x = 30,887,036.12/5,767.68
  6. Step 6: Final answer
    x = 5,355.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.