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Finding the Fourth Proportional to 2,176.74, 3,261 and 1,080.51

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Solution

The fourth proportional to 2,176.74, 3,261 and 1,080.51 is: 1,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.74 : 3,261 = 1,080.51 : x
  2. Step 2: Convert to fraction form
    2,176.74/3,261 = 1,080.51/x
  3. Step 3: Cross multiply
    2,176.74x = 3,261 × 1,080.51
  4. Step 4: Simplify right side
    2,176.74x = 3,523,543.11
  5. Step 5: Solve for x
    x = 3,523,543.11/2,176.74
  6. Step 6: Final answer
    x = 1,618.72

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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.