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Finding the Fourth Proportional to 2,751.60, 3,795.84 and 2,378.46

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Solution

The fourth proportional to 2,751.60, 3,795.84 and 2,378.46 is: 3,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.60 : 3,795.84 = 2,378.46 : x
  2. Step 2: Convert to fraction form
    2,751.60/3,795.84 = 2,378.46/x
  3. Step 3: Cross multiply
    2,751.60x = 3,795.84 × 2,378.46
  4. Step 4: Simplify right side
    2,751.60x = 9,028,253.61
  5. Step 5: Solve for x
    x = 9,028,253.61/2,751.60
  6. Step 6: Final answer
    x = 3,281.09

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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.