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Finding the Fourth Proportional to 8,113.16, 12,146 and 7,334.95

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Solution

The fourth proportional to 8,113.16, 12,146 and 7,334.95 is: 10,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.16 : 12,146 = 7,334.95 : x
  2. Step 2: Convert to fraction form
    8,113.16/12,146 = 7,334.95/x
  3. Step 3: Cross multiply
    8,113.16x = 12,146 × 7,334.95
  4. Step 4: Simplify right side
    8,113.16x = 89,090,241.97
  5. Step 5: Solve for x
    x = 89,090,241.97/8,113.16
  6. Step 6: Final answer
    x = 10,980.96

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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.