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Finding the Fourth Proportional to 1,243.86, 1,864.78 and 935.12

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Solution

The fourth proportional to 1,243.86, 1,864.78 and 935.12 is: 1,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.86 : 1,864.78 = 935.12 : x
  2. Step 2: Convert to fraction form
    1,243.86/1,864.78 = 935.12/x
  3. Step 3: Cross multiply
    1,243.86x = 1,864.78 × 935.12
  4. Step 4: Simplify right side
    1,243.86x = 1,743,793.07
  5. Step 5: Solve for x
    x = 1,743,793.07/1,243.86
  6. Step 6: Final answer
    x = 1,401.92

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1.5x scale

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.