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Finding the Fourth Proportional to 5,854, 8,781.40 and 1,957.90

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Solution

The fourth proportional to 5,854, 8,781.40 and 1,957.90 is: 2,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854 : 8,781.40 = 1,957.90 : x
  2. Step 2: Convert to fraction form
    5,854/8,781.40 = 1,957.90/x
  3. Step 3: Cross multiply
    5,854x = 8,781.40 × 1,957.90
  4. Step 4: Simplify right side
    5,854x = 17,193,103.06
  5. Step 5: Solve for x
    x = 17,193,103.06/5,854
  6. Step 6: Final answer
    x = 2,936.98

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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.