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Finding the Fourth Proportional to 1,423.44, 2,138.00 and 876.69

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Solution

The fourth proportional to 1,423.44, 2,138.00 and 876.69 is: 1,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.44 : 2,138.00 = 876.69 : x
  2. Step 2: Convert to fraction form
    1,423.44/2,138.00 = 876.69/x
  3. Step 3: Cross multiply
    1,423.44x = 2,138.00 × 876.69
  4. Step 4: Simplify right side
    1,423.44x = 1,874,358.84
  5. Step 5: Solve for x
    x = 1,874,358.84/1,423.44
  6. Step 6: Final answer
    x = 1,316.78

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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.