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Finding the Fourth Proportional to 2,423.55, 3,635.87 and 780.09

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Solution

The fourth proportional to 2,423.55, 3,635.87 and 780.09 is: 1,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.55 : 3,635.87 = 780.09 : x
  2. Step 2: Convert to fraction form
    2,423.55/3,635.87 = 780.09/x
  3. Step 3: Cross multiply
    2,423.55x = 3,635.87 × 780.09
  4. Step 4: Simplify right side
    2,423.55x = 2,836,301.93
  5. Step 5: Solve for x
    x = 2,836,301.93/2,423.55
  6. Step 6: Final answer
    x = 1,170.31

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1.5x scale

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.