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Finding the Fourth Proportional to 1,869.52, 2,801.78 and 1,434.54

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Solution

The fourth proportional to 1,869.52, 2,801.78 and 1,434.54 is: 2,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.52 : 2,801.78 = 1,434.54 : x
  2. Step 2: Convert to fraction form
    1,869.52/2,801.78 = 1,434.54/x
  3. Step 3: Cross multiply
    1,869.52x = 2,801.78 × 1,434.54
  4. Step 4: Simplify right side
    1,869.52x = 4,019,265.48
  5. Step 5: Solve for x
    x = 4,019,265.48/1,869.52
  6. Step 6: Final answer
    x = 2,149.89

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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.