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Finding the Fourth Proportional to 1,789.75, 2,681.10 and 1,655.18

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Solution

The fourth proportional to 1,789.75, 2,681.10 and 1,655.18 is: 2,479.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.75 : 2,681.10 = 1,655.18 : x
  2. Step 2: Convert to fraction form
    1,789.75/2,681.10 = 1,655.18/x
  3. Step 3: Cross multiply
    1,789.75x = 2,681.10 × 1,655.18
  4. Step 4: Simplify right side
    1,789.75x = 4,437,714.83
  5. Step 5: Solve for x
    x = 4,437,714.83/1,789.75
  6. Step 6: Final answer
    x = 2,479.51

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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.