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Finding the Fourth Proportional to 6,638.12, 9,948.06 and 6,385.64

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Solution

The fourth proportional to 6,638.12, 9,948.06 and 6,385.64 is: 9,569.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.12 : 9,948.06 = 6,385.64 : x
  2. Step 2: Convert to fraction form
    6,638.12/9,948.06 = 6,385.64/x
  3. Step 3: Cross multiply
    6,638.12x = 9,948.06 × 6,385.64
  4. Step 4: Simplify right side
    6,638.12x = 63,524,729.86
  5. Step 5: Solve for x
    x = 63,524,729.86/6,638.12
  6. Step 6: Final answer
    x = 9,569.69

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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.