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Finding the Fourth Proportional to 5,242.13, 7,865.93 and 4,939.59

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Solution

The fourth proportional to 5,242.13, 7,865.93 and 4,939.59 is: 7,411.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.13 : 7,865.93 = 4,939.59 : x
  2. Step 2: Convert to fraction form
    5,242.13/7,865.93 = 4,939.59/x
  3. Step 3: Cross multiply
    5,242.13x = 7,865.93 × 4,939.59
  4. Step 4: Simplify right side
    5,242.13x = 38,854,469.17
  5. Step 5: Solve for x
    x = 38,854,469.17/5,242.13
  6. Step 6: Final answer
    x = 7,411.96

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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.