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Finding the Fourth Proportional to 2,887.74, 4,329 and 1,499.46

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Solution

The fourth proportional to 2,887.74, 4,329 and 1,499.46 is: 2,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.74 : 4,329 = 1,499.46 : x
  2. Step 2: Convert to fraction form
    2,887.74/4,329 = 1,499.46/x
  3. Step 3: Cross multiply
    2,887.74x = 4,329 × 1,499.46
  4. Step 4: Simplify right side
    2,887.74x = 6,491,162.34
  5. Step 5: Solve for x
    x = 6,491,162.34/2,887.74
  6. Step 6: Final answer
    x = 2,247.83

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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.