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Finding the Fourth Proportional to 8,113, 12,170.10 and 3,496

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Solution

The fourth proportional to 8,113, 12,170.10 and 3,496 is: 5,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113 : 12,170.10 = 3,496 : x
  2. Step 2: Convert to fraction form
    8,113/12,170.10 = 3,496/x
  3. Step 3: Cross multiply
    8,113x = 12,170.10 × 3,496
  4. Step 4: Simplify right side
    8,113x = 42,546,669.60
  5. Step 5: Solve for x
    x = 42,546,669.60/8,113
  6. Step 6: Final answer
    x = 5,244.26

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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.