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Finding the Fourth Proportional to 1,900.28, 2,849.50 and 976.28

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Solution

The fourth proportional to 1,900.28, 2,849.50 and 976.28 is: 1,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.28 : 2,849.50 = 976.28 : x
  2. Step 2: Convert to fraction form
    1,900.28/2,849.50 = 976.28/x
  3. Step 3: Cross multiply
    1,900.28x = 2,849.50 × 976.28
  4. Step 4: Simplify right side
    1,900.28x = 2,781,909.86
  5. Step 5: Solve for x
    x = 2,781,909.86/1,900.28
  6. Step 6: Final answer
    x = 1,463.95

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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.