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Finding the Fourth Proportional to 7,172.40, 9,910.20 and 6,404.40

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Solution

The fourth proportional to 7,172.40, 9,910.20 and 6,404.40 is: 8,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.40 : 9,910.20 = 6,404.40 : x
  2. Step 2: Convert to fraction form
    7,172.40/9,910.20 = 6,404.40/x
  3. Step 3: Cross multiply
    7,172.40x = 9,910.20 × 6,404.40
  4. Step 4: Simplify right side
    7,172.40x = 63,468,884.88
  5. Step 5: Solve for x
    x = 63,468,884.88/7,172.40
  6. Step 6: Final answer
    x = 8,849.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.