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Finding the Fourth Proportional to 4,159.71, 6,239.94 and 1,819.02

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Solution

The fourth proportional to 4,159.71, 6,239.94 and 1,819.02 is: 2,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.71 : 6,239.94 = 1,819.02 : x
  2. Step 2: Convert to fraction form
    4,159.71/6,239.94 = 1,819.02/x
  3. Step 3: Cross multiply
    4,159.71x = 6,239.94 × 1,819.02
  4. Step 4: Simplify right side
    4,159.71x = 11,350,575.66
  5. Step 5: Solve for x
    x = 11,350,575.66/4,159.71
  6. Step 6: Final answer
    x = 2,728.69

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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.