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Finding the Fourth Proportional to 1,810.62, 2,717.13 and 1,566.78

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Solution

The fourth proportional to 1,810.62, 2,717.13 and 1,566.78 is: 2,351.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,810.62 : 2,717.13 = 1,566.78 : x
  2. Step 2: Convert to fraction form
    1,810.62/2,717.13 = 1,566.78/x
  3. Step 3: Cross multiply
    1,810.62x = 2,717.13 × 1,566.78
  4. Step 4: Simplify right side
    1,810.62x = 4,257,144.94
  5. Step 5: Solve for x
    x = 4,257,144.94/1,810.62
  6. Step 6: Final answer
    x = 2,351.21

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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.