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Finding the Fourth Proportional to 2,819.79, 3,891.32 and 1,543.65

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Solution

The fourth proportional to 2,819.79, 3,891.32 and 1,543.65 is: 2,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.79 : 3,891.32 = 1,543.65 : x
  2. Step 2: Convert to fraction form
    2,819.79/3,891.32 = 1,543.65/x
  3. Step 3: Cross multiply
    2,819.79x = 3,891.32 × 1,543.65
  4. Step 4: Simplify right side
    2,819.79x = 6,006,828.40
  5. Step 5: Solve for x
    x = 6,006,828.40/2,819.79
  6. Step 6: Final answer
    x = 2,130.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.