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Finding the Fourth Proportional to 2,170.76, 3,256.86 and 1,075.88

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Solution

The fourth proportional to 2,170.76, 3,256.86 and 1,075.88 is: 1,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.76 : 3,256.86 = 1,075.88 : x
  2. Step 2: Convert to fraction form
    2,170.76/3,256.86 = 1,075.88/x
  3. Step 3: Cross multiply
    2,170.76x = 3,256.86 × 1,075.88
  4. Step 4: Simplify right side
    2,170.76x = 3,503,990.54
  5. Step 5: Solve for x
    x = 3,503,990.54/2,170.76
  6. Step 6: Final answer
    x = 1,614.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.