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Finding the Fourth Proportional to 2,159.87, 3,240 and 1,299.65

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Solution

The fourth proportional to 2,159.87, 3,240 and 1,299.65 is: 1,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.87 : 3,240 = 1,299.65 : x
  2. Step 2: Convert to fraction form
    2,159.87/3,240 = 1,299.65/x
  3. Step 3: Cross multiply
    2,159.87x = 3,240 × 1,299.65
  4. Step 4: Simplify right side
    2,159.87x = 4,210,849.80
  5. Step 5: Solve for x
    x = 4,210,849.80/2,159.87
  6. Step 6: Final answer
    x = 1,949.59

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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.