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Finding the Fourth Proportional to 1,423.13, 1,964.39 and 951.84

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Solution

The fourth proportional to 1,423.13, 1,964.39 and 951.84 is: 1,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.13 : 1,964.39 = 951.84 : x
  2. Step 2: Convert to fraction form
    1,423.13/1,964.39 = 951.84/x
  3. Step 3: Cross multiply
    1,423.13x = 1,964.39 × 951.84
  4. Step 4: Simplify right side
    1,423.13x = 1,869,780.22
  5. Step 5: Solve for x
    x = 1,869,780.22/1,423.13
  6. Step 6: Final answer
    x = 1,313.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.