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Finding the Fourth Proportional to 2,800.78, 3,865.70 and 1,856.62

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Solution

The fourth proportional to 2,800.78, 3,865.70 and 1,856.62 is: 2,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.78 : 3,865.70 = 1,856.62 : x
  2. Step 2: Convert to fraction form
    2,800.78/3,865.70 = 1,856.62/x
  3. Step 3: Cross multiply
    2,800.78x = 3,865.70 × 1,856.62
  4. Step 4: Simplify right side
    2,800.78x = 7,177,135.93
  5. Step 5: Solve for x
    x = 7,177,135.93/2,800.78
  6. Step 6: Final answer
    x = 2,562.55

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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.