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Finding the Fourth Proportional to 2,614.76, 3,925.62 and 1,519.91

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Solution

The fourth proportional to 2,614.76, 3,925.62 and 1,519.91 is: 2,281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.76 : 3,925.62 = 1,519.91 : x
  2. Step 2: Convert to fraction form
    2,614.76/3,925.62 = 1,519.91/x
  3. Step 3: Cross multiply
    2,614.76x = 3,925.62 × 1,519.91
  4. Step 4: Simplify right side
    2,614.76x = 5,966,589.09
  5. Step 5: Solve for x
    x = 5,966,589.09/2,614.76
  6. Step 6: Final answer
    x = 2,281.89

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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.