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Finding the Fourth Proportional to 5,987.72, 8,980.14 and 2,909

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Solution

The fourth proportional to 5,987.72, 8,980.14 and 2,909 is: 4,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.72 : 8,980.14 = 2,909 : x
  2. Step 2: Convert to fraction form
    5,987.72/8,980.14 = 2,909/x
  3. Step 3: Cross multiply
    5,987.72x = 8,980.14 × 2,909
  4. Step 4: Simplify right side
    5,987.72x = 26,123,227.26
  5. Step 5: Solve for x
    x = 26,123,227.26/5,987.72
  6. Step 6: Final answer
    x = 4,362.80

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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.