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Finding the Fourth Proportional to 3,854.67, 5,781.40 and 1,257

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Solution

The fourth proportional to 3,854.67, 5,781.40 and 1,257 is: 1,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.67 : 5,781.40 = 1,257 : x
  2. Step 2: Convert to fraction form
    3,854.67/5,781.40 = 1,257/x
  3. Step 3: Cross multiply
    3,854.67x = 5,781.40 × 1,257
  4. Step 4: Simplify right side
    3,854.67x = 7,267,216.66
  5. Step 5: Solve for x
    x = 7,267,216.66/3,854.67
  6. Step 6: Final answer
    x = 1,885.30

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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.