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Finding the Fourth Proportional to 3,155.71, 4,733.57 and 964.43

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Solution

The fourth proportional to 3,155.71, 4,733.57 and 964.43 is: 1,446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.71 : 4,733.57 = 964.43 : x
  2. Step 2: Convert to fraction form
    3,155.71/4,733.57 = 964.43/x
  3. Step 3: Cross multiply
    3,155.71x = 4,733.57 × 964.43
  4. Step 4: Simplify right side
    3,155.71x = 4,565,211.16
  5. Step 5: Solve for x
    x = 4,565,211.16/3,155.71
  6. Step 6: Final answer
    x = 1,446.65

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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.