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Finding the Fourth Proportional to 3,877.55, 5,815.45 and 1,104.17

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Solution

The fourth proportional to 3,877.55, 5,815.45 and 1,104.17 is: 1,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.55 : 5,815.45 = 1,104.17 : x
  2. Step 2: Convert to fraction form
    3,877.55/5,815.45 = 1,104.17/x
  3. Step 3: Cross multiply
    3,877.55x = 5,815.45 × 1,104.17
  4. Step 4: Simplify right side
    3,877.55x = 6,421,211.52
  5. Step 5: Solve for x
    x = 6,421,211.52/3,877.55
  6. Step 6: Final answer
    x = 1,656.00

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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.