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Finding the Fourth Proportional to 8,242.62, 12,319.94 and 7,180.22

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Solution

The fourth proportional to 8,242.62, 12,319.94 and 7,180.22 is: 10,732.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.62 : 12,319.94 = 7,180.22 : x
  2. Step 2: Convert to fraction form
    8,242.62/12,319.94 = 7,180.22/x
  3. Step 3: Cross multiply
    8,242.62x = 12,319.94 × 7,180.22
  4. Step 4: Simplify right side
    8,242.62x = 88,459,879.59
  5. Step 5: Solve for x
    x = 88,459,879.59/8,242.62
  6. Step 6: Final answer
    x = 10,732.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.