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Finding the Fourth Proportional to 6,425.60, 9,642.88 and 2,480.64

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Solution

The fourth proportional to 6,425.60, 9,642.88 and 2,480.64 is: 3,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.60 : 9,642.88 = 2,480.64 : x
  2. Step 2: Convert to fraction form
    6,425.60/9,642.88 = 2,480.64/x
  3. Step 3: Cross multiply
    6,425.60x = 9,642.88 × 2,480.64
  4. Step 4: Simplify right side
    6,425.60x = 23,920,513.84
  5. Step 5: Solve for x
    x = 23,920,513.84/6,425.60
  6. Step 6: Final answer
    x = 3,722.69

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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.