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Finding the Fourth Proportional to 2,911.71, 4,367.61 and 963.84

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Solution

The fourth proportional to 2,911.71, 4,367.61 and 963.84 is: 1,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.71 : 4,367.61 = 963.84 : x
  2. Step 2: Convert to fraction form
    2,911.71/4,367.61 = 963.84/x
  3. Step 3: Cross multiply
    2,911.71x = 4,367.61 × 963.84
  4. Step 4: Simplify right side
    2,911.71x = 4,209,677.22
  5. Step 5: Solve for x
    x = 4,209,677.22/2,911.71
  6. Step 6: Final answer
    x = 1,445.77

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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.