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Finding the Fourth Proportional to 5,977.31, 8,956.60 and 3,781.40

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Solution

The fourth proportional to 5,977.31, 8,956.60 and 3,781.40 is: 5,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.31 : 8,956.60 = 3,781.40 : x
  2. Step 2: Convert to fraction form
    5,977.31/8,956.60 = 3,781.40/x
  3. Step 3: Cross multiply
    5,977.31x = 8,956.60 × 3,781.40
  4. Step 4: Simplify right side
    5,977.31x = 33,868,483.38
  5. Step 5: Solve for x
    x = 33,868,483.38/5,977.31
  6. Step 6: Final answer
    x = 5,666.17

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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.