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Finding the Fourth Proportional to 4,659.40, 6,989.10 and 4,149.10

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Solution

The fourth proportional to 4,659.40, 6,989.10 and 4,149.10 is: 6,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.40 : 6,989.10 = 4,149.10 : x
  2. Step 2: Convert to fraction form
    4,659.40/6,989.10 = 4,149.10/x
  3. Step 3: Cross multiply
    4,659.40x = 6,989.10 × 4,149.10
  4. Step 4: Simplify right side
    4,659.40x = 28,998,474.81
  5. Step 5: Solve for x
    x = 28,998,474.81/4,659.40
  6. Step 6: Final answer
    x = 6,223.65

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Similar ratio
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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.