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Finding the Fourth Proportional to 2,750.76, 3,795.66 and 1,956.15

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Solution

The fourth proportional to 2,750.76, 3,795.66 and 1,956.15 is: 2,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.76 : 3,795.66 = 1,956.15 : x
  2. Step 2: Convert to fraction form
    2,750.76/3,795.66 = 1,956.15/x
  3. Step 3: Cross multiply
    2,750.76x = 3,795.66 × 1,956.15
  4. Step 4: Simplify right side
    2,750.76x = 7,424,880.31
  5. Step 5: Solve for x
    x = 7,424,880.31/2,750.76
  6. Step 6: Final answer
    x = 2,699.21

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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.