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Finding the Fourth Proportional to 2,795.64, 3,856.98 and 1,957.68

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Solution

The fourth proportional to 2,795.64, 3,856.98 and 1,957.68 is: 2,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.64 : 3,856.98 = 1,957.68 : x
  2. Step 2: Convert to fraction form
    2,795.64/3,856.98 = 1,957.68/x
  3. Step 3: Cross multiply
    2,795.64x = 3,856.98 × 1,957.68
  4. Step 4: Simplify right side
    2,795.64x = 7,550,732.61
  5. Step 5: Solve for x
    x = 7,550,732.61/2,795.64
  6. Step 6: Final answer
    x = 2,700.90

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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.