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Finding the Fourth Proportional to 4,659.48, 6,989.15 and 1,149.53

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Solution

The fourth proportional to 4,659.48, 6,989.15 and 1,149.53 is: 1,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.48 : 6,989.15 = 1,149.53 : x
  2. Step 2: Convert to fraction form
    4,659.48/6,989.15 = 1,149.53/x
  3. Step 3: Cross multiply
    4,659.48x = 6,989.15 × 1,149.53
  4. Step 4: Simplify right side
    4,659.48x = 8,034,205.53
  5. Step 5: Solve for x
    x = 8,034,205.53/4,659.48
  6. Step 6: Final answer
    x = 1,724.27

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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.