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Finding the Fourth Proportional to 7,766.40, 11,649.60 and 3,149.40

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Solution

The fourth proportional to 7,766.40, 11,649.60 and 3,149.40 is: 4,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.40 : 11,649.60 = 3,149.40 : x
  2. Step 2: Convert to fraction form
    7,766.40/11,649.60 = 3,149.40/x
  3. Step 3: Cross multiply
    7,766.40x = 11,649.60 × 3,149.40
  4. Step 4: Simplify right side
    7,766.40x = 36,689,250.24
  5. Step 5: Solve for x
    x = 36,689,250.24/7,766.40
  6. Step 6: Final answer
    x = 4,724.10

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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.