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Finding the Fourth Proportional to 2,793.42, 3,856.14 and 1,913.76

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Solution

The fourth proportional to 2,793.42, 3,856.14 and 1,913.76 is: 2,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.42 : 3,856.14 = 1,913.76 : x
  2. Step 2: Convert to fraction form
    2,793.42/3,856.14 = 1,913.76/x
  3. Step 3: Cross multiply
    2,793.42x = 3,856.14 × 1,913.76
  4. Step 4: Simplify right side
    2,793.42x = 7,379,726.49
  5. Step 5: Solve for x
    x = 7,379,726.49/2,793.42
  6. Step 6: Final answer
    x = 2,641.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.