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Finding the Fourth Proportional to 3,001.86, 4,500.90 and 1,269

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Solution

The fourth proportional to 3,001.86, 4,500.90 and 1,269 is: 1,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.86 : 4,500.90 = 1,269 : x
  2. Step 2: Convert to fraction form
    3,001.86/4,500.90 = 1,269/x
  3. Step 3: Cross multiply
    3,001.86x = 4,500.90 × 1,269
  4. Step 4: Simplify right side
    3,001.86x = 5,711,642.10
  5. Step 5: Solve for x
    x = 5,711,642.10/3,001.86
  6. Step 6: Final answer
    x = 1,902.70

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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.