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Finding the Fourth Proportional to 5,242.80, 7,866.12 and 2,646

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Solution

The fourth proportional to 5,242.80, 7,866.12 and 2,646 is: 3,969.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.80 : 7,866.12 = 2,646 : x
  2. Step 2: Convert to fraction form
    5,242.80/7,866.12 = 2,646/x
  3. Step 3: Cross multiply
    5,242.80x = 7,866.12 × 2,646
  4. Step 4: Simplify right side
    5,242.80x = 20,813,753.52
  5. Step 5: Solve for x
    x = 20,813,753.52/5,242.80
  6. Step 6: Final answer
    x = 3,969.97

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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.