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Finding the Fourth Proportional to 5,242.70, 7,865.94 and 2,643.68

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Solution

The fourth proportional to 5,242.70, 7,865.94 and 2,643.68 is: 3,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.70 : 7,865.94 = 2,643.68 : x
  2. Step 2: Convert to fraction form
    5,242.70/7,865.94 = 2,643.68/x
  3. Step 3: Cross multiply
    5,242.70x = 7,865.94 × 2,643.68
  4. Step 4: Simplify right side
    5,242.70x = 20,794,988.93
  5. Step 5: Solve for x
    x = 20,794,988.93/5,242.70
  6. Step 6: Final answer
    x = 3,966.47

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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.