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Finding the Fourth Proportional to 3,429.16, 5,143.93 and 963.79

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Solution

The fourth proportional to 3,429.16, 5,143.93 and 963.79 is: 1,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.16 : 5,143.93 = 963.79 : x
  2. Step 2: Convert to fraction form
    3,429.16/5,143.93 = 963.79/x
  3. Step 3: Cross multiply
    3,429.16x = 5,143.93 × 963.79
  4. Step 4: Simplify right side
    3,429.16x = 4,957,653.03
  5. Step 5: Solve for x
    x = 4,957,653.03/3,429.16
  6. Step 6: Final answer
    x = 1,445.74

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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.