Home / 2,423.41-3,635.70-780.11

Finding the Fourth Proportional to 2,423.41, 3,635.70 and 780.11

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Solution

The fourth proportional to 2,423.41, 3,635.70 and 780.11 is: 1,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.41 : 3,635.70 = 780.11 : x
  2. Step 2: Convert to fraction form
    2,423.41/3,635.70 = 780.11/x
  3. Step 3: Cross multiply
    2,423.41x = 3,635.70 × 780.11
  4. Step 4: Simplify right side
    2,423.41x = 2,836,245.93
  5. Step 5: Solve for x
    x = 2,836,245.93/2,423.41
  6. Step 6: Final answer
    x = 1,170.35

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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.