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Finding the Fourth Proportional to 5,114.97, 7,672.46 and 3,656.97

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Solution

The fourth proportional to 5,114.97, 7,672.46 and 3,656.97 is: 5,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.97 : 7,672.46 = 3,656.97 : x
  2. Step 2: Convert to fraction form
    5,114.97/7,672.46 = 3,656.97/x
  3. Step 3: Cross multiply
    5,114.97x = 7,672.46 × 3,656.97
  4. Step 4: Simplify right side
    5,114.97x = 28,057,937.76
  5. Step 5: Solve for x
    x = 28,057,937.76/5,114.97
  6. Step 6: Final answer
    x = 5,485.46

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1.5x scale

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.