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Finding the Fourth Proportional to 2,176.66, 3,262.76 and 859.88

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Solution

The fourth proportional to 2,176.66, 3,262.76 and 859.88 is: 1,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.66 : 3,262.76 = 859.88 : x
  2. Step 2: Convert to fraction form
    2,176.66/3,262.76 = 859.88/x
  3. Step 3: Cross multiply
    2,176.66x = 3,262.76 × 859.88
  4. Step 4: Simplify right side
    2,176.66x = 2,805,593.99
  5. Step 5: Solve for x
    x = 2,805,593.99/2,176.66
  6. Step 6: Final answer
    x = 1,288.95

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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.