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Finding the Fourth Proportional to 3,423.11, 5,134.67 and 957.95

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Solution

The fourth proportional to 3,423.11, 5,134.67 and 957.95 is: 1,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.11 : 5,134.67 = 957.95 : x
  2. Step 2: Convert to fraction form
    3,423.11/5,134.67 = 957.95/x
  3. Step 3: Cross multiply
    3,423.11x = 5,134.67 × 957.95
  4. Step 4: Simplify right side
    3,423.11x = 4,918,749.51
  5. Step 5: Solve for x
    x = 4,918,749.51/3,423.11
  6. Step 6: Final answer
    x = 1,436.93

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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.