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Finding the Fourth Proportional to 6,645.32, 9,962.70 and 4,560.20

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Solution

The fourth proportional to 6,645.32, 9,962.70 and 4,560.20 is: 6,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.32 : 9,962.70 = 4,560.20 : x
  2. Step 2: Convert to fraction form
    6,645.32/9,962.70 = 4,560.20/x
  3. Step 3: Cross multiply
    6,645.32x = 9,962.70 × 4,560.20
  4. Step 4: Simplify right side
    6,645.32x = 45,431,904.54
  5. Step 5: Solve for x
    x = 45,431,904.54/6,645.32
  6. Step 6: Final answer
    x = 6,836.68

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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.