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Finding the Fourth Proportional to 2,999.80, 4,499.75 and 1,151.02

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Solution

The fourth proportional to 2,999.80, 4,499.75 and 1,151.02 is: 1,726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.80 : 4,499.75 = 1,151.02 : x
  2. Step 2: Convert to fraction form
    2,999.80/4,499.75 = 1,151.02/x
  3. Step 3: Cross multiply
    2,999.80x = 4,499.75 × 1,151.02
  4. Step 4: Simplify right side
    2,999.80x = 5,179,302.25
  5. Step 5: Solve for x
    x = 5,179,302.25/2,999.80
  6. Step 6: Final answer
    x = 1,726.55

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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.