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Finding the Fourth Proportional to 4,100.27, 5,659.10 and 2,421.57

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Solution

The fourth proportional to 4,100.27, 5,659.10 and 2,421.57 is: 3,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.27 : 5,659.10 = 2,421.57 : x
  2. Step 2: Convert to fraction form
    4,100.27/5,659.10 = 2,421.57/x
  3. Step 3: Cross multiply
    4,100.27x = 5,659.10 × 2,421.57
  4. Step 4: Simplify right side
    4,100.27x = 13,703,866.38
  5. Step 5: Solve for x
    x = 13,703,866.38/4,100.27
  6. Step 6: Final answer
    x = 3,342.19

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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.