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Finding the Fourth Proportional to 1,909.52, 2,865.59 and 935.09

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Solution

The fourth proportional to 1,909.52, 2,865.59 and 935.09 is: 1,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.52 : 2,865.59 = 935.09 : x
  2. Step 2: Convert to fraction form
    1,909.52/2,865.59 = 935.09/x
  3. Step 3: Cross multiply
    1,909.52x = 2,865.59 × 935.09
  4. Step 4: Simplify right side
    1,909.52x = 2,679,572.56
  5. Step 5: Solve for x
    x = 2,679,572.56/1,909.52
  6. Step 6: Final answer
    x = 1,403.27

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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.