Home / 2,423.14-3,635.20-779.74

Finding the Fourth Proportional to 2,423.14, 3,635.20 and 779.74

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Solution

The fourth proportional to 2,423.14, 3,635.20 and 779.74 is: 1,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.14 : 3,635.20 = 779.74 : x
  2. Step 2: Convert to fraction form
    2,423.14/3,635.20 = 779.74/x
  3. Step 3: Cross multiply
    2,423.14x = 3,635.20 × 779.74
  4. Step 4: Simplify right side
    2,423.14x = 2,834,510.85
  5. Step 5: Solve for x
    x = 2,834,510.85/2,423.14
  6. Step 6: Final answer
    x = 1,169.77

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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.