Home / 1,592.12-2,387.04-769.76

Finding the Fourth Proportional to 1,592.12, 2,387.04 and 769.76

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Solution

The fourth proportional to 1,592.12, 2,387.04 and 769.76 is: 1,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.12 : 2,387.04 = 769.76 : x
  2. Step 2: Convert to fraction form
    1,592.12/2,387.04 = 769.76/x
  3. Step 3: Cross multiply
    1,592.12x = 2,387.04 × 769.76
  4. Step 4: Simplify right side
    1,592.12x = 1,837,447.91
  5. Step 5: Solve for x
    x = 1,837,447.91/1,592.12
  6. Step 6: Final answer
    x = 1,154.09

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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.