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Finding the Fourth Proportional to 8,991.34, 13,487 and 3,146.60

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Solution

The fourth proportional to 8,991.34, 13,487 and 3,146.60 is: 4,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991.34 : 13,487 = 3,146.60 : x
  2. Step 2: Convert to fraction form
    8,991.34/13,487 = 3,146.60/x
  3. Step 3: Cross multiply
    8,991.34x = 13,487 × 3,146.60
  4. Step 4: Simplify right side
    8,991.34x = 42,438,194.20
  5. Step 5: Solve for x
    x = 42,438,194.20/8,991.34
  6. Step 6: Final answer
    x = 4,719.90

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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.