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Finding the Fourth Proportional to 2,089.81, 2,882.13 and 1,759

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Solution

The fourth proportional to 2,089.81, 2,882.13 and 1,759 is: 2,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.81 : 2,882.13 = 1,759 : x
  2. Step 2: Convert to fraction form
    2,089.81/2,882.13 = 1,759/x
  3. Step 3: Cross multiply
    2,089.81x = 2,882.13 × 1,759
  4. Step 4: Simplify right side
    2,089.81x = 5,069,666.67
  5. Step 5: Solve for x
    x = 5,069,666.67/2,089.81
  6. Step 6: Final answer
    x = 2,425.90

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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.