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Finding the Fourth Proportional to 7,132.98, 9,846.22 and 6,385.60

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Solution

The fourth proportional to 7,132.98, 9,846.22 and 6,385.60 is: 8,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.98 : 9,846.22 = 6,385.60 : x
  2. Step 2: Convert to fraction form
    7,132.98/9,846.22 = 6,385.60/x
  3. Step 3: Cross multiply
    7,132.98x = 9,846.22 × 6,385.60
  4. Step 4: Simplify right side
    7,132.98x = 62,873,981.85
  5. Step 5: Solve for x
    x = 62,873,981.85/7,132.98
  6. Step 6: Final answer
    x = 8,814.55

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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.