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Finding the Fourth Proportional to 7,197.76, 10,787.54 and 3,857.71

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Solution

The fourth proportional to 7,197.76, 10,787.54 and 3,857.71 is: 5,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.76 : 10,787.54 = 3,857.71 : x
  2. Step 2: Convert to fraction form
    7,197.76/10,787.54 = 3,857.71/x
  3. Step 3: Cross multiply
    7,197.76x = 10,787.54 × 3,857.71
  4. Step 4: Simplify right side
    7,197.76x = 41,615,127.71
  5. Step 5: Solve for x
    x = 41,615,127.71/7,197.76
  6. Step 6: Final answer
    x = 5,781.68

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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.