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Finding the Fourth Proportional to 3,559.86, 4,901.85 and 2,811.42

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Solution

The fourth proportional to 3,559.86, 4,901.85 and 2,811.42 is: 3,871.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.86 : 4,901.85 = 2,811.42 : x
  2. Step 2: Convert to fraction form
    3,559.86/4,901.85 = 2,811.42/x
  3. Step 3: Cross multiply
    3,559.86x = 4,901.85 × 2,811.42
  4. Step 4: Simplify right side
    3,559.86x = 13,781,159.13
  5. Step 5: Solve for x
    x = 13,781,159.13/3,559.86
  6. Step 6: Final answer
    x = 3,871.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.