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Finding the Fourth Proportional to 1,909.73, 2,864.49 and 935.50

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Solution

The fourth proportional to 1,909.73, 2,864.49 and 935.50 is: 1,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.73 : 2,864.49 = 935.50 : x
  2. Step 2: Convert to fraction form
    1,909.73/2,864.49 = 935.50/x
  3. Step 3: Cross multiply
    1,909.73x = 2,864.49 × 935.50
  4. Step 4: Simplify right side
    1,909.73x = 2,679,730.40
  5. Step 5: Solve for x
    x = 2,679,730.40/1,909.73
  6. Step 6: Final answer
    x = 1,403.20

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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.