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Finding the Fourth Proportional to 1,903.41, 2,856.56 and 671.85

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Solution

The fourth proportional to 1,903.41, 2,856.56 and 671.85 is: 1,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.41 : 2,856.56 = 671.85 : x
  2. Step 2: Convert to fraction form
    1,903.41/2,856.56 = 671.85/x
  3. Step 3: Cross multiply
    1,903.41x = 2,856.56 × 671.85
  4. Step 4: Simplify right side
    1,903.41x = 1,919,176.48
  5. Step 5: Solve for x
    x = 1,919,176.48/1,903.41
  6. Step 6: Final answer
    x = 1,008.28

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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.