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Finding the Fourth Proportional to 3,862.58, 5,794.78 and 1,265.50

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Solution

The fourth proportional to 3,862.58, 5,794.78 and 1,265.50 is: 1,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.58 : 5,794.78 = 1,265.50 : x
  2. Step 2: Convert to fraction form
    3,862.58/5,794.78 = 1,265.50/x
  3. Step 3: Cross multiply
    3,862.58x = 5,794.78 × 1,265.50
  4. Step 4: Simplify right side
    3,862.58x = 7,333,294.09
  5. Step 5: Solve for x
    x = 7,333,294.09/3,862.58
  6. Step 6: Final answer
    x = 1,898.55

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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.