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Finding the Fourth Proportional to 2,869.28, 4,295.28 and 1,634.48

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Solution

The fourth proportional to 2,869.28, 4,295.28 and 1,634.48 is: 2,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.28 : 4,295.28 = 1,634.48 : x
  2. Step 2: Convert to fraction form
    2,869.28/4,295.28 = 1,634.48/x
  3. Step 3: Cross multiply
    2,869.28x = 4,295.28 × 1,634.48
  4. Step 4: Simplify right side
    2,869.28x = 7,020,549.25
  5. Step 5: Solve for x
    x = 7,020,549.25/2,869.28
  6. Step 6: Final answer
    x = 2,446.80

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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.