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Finding the Fourth Proportional to 6,407.40, 9,612.90 and 3,120.60

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Solution

The fourth proportional to 6,407.40, 9,612.90 and 3,120.60 is: 4,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.40 : 9,612.90 = 3,120.60 : x
  2. Step 2: Convert to fraction form
    6,407.40/9,612.90 = 3,120.60/x
  3. Step 3: Cross multiply
    6,407.40x = 9,612.90 × 3,120.60
  4. Step 4: Simplify right side
    6,407.40x = 29,998,015.74
  5. Step 5: Solve for x
    x = 29,998,015.74/6,407.40
  6. Step 6: Final answer
    x = 4,681.78

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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.