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Finding the Fourth Proportional to 3,877.86, 5,815.92 and 1,104.47

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Solution

The fourth proportional to 3,877.86, 5,815.92 and 1,104.47 is: 1,656.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.86 : 5,815.92 = 1,104.47 : x
  2. Step 2: Convert to fraction form
    3,877.86/5,815.92 = 1,104.47/x
  3. Step 3: Cross multiply
    3,877.86x = 5,815.92 × 1,104.47
  4. Step 4: Simplify right side
    3,877.86x = 6,423,509.16
  5. Step 5: Solve for x
    x = 6,423,509.16/3,877.86
  6. Step 6: Final answer
    x = 1,656.46

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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.