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Finding the Fourth Proportional to 2,790, 4,177.68 and 2,350.08

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Solution

The fourth proportional to 2,790, 4,177.68 and 2,350.08 is: 3,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790 : 4,177.68 = 2,350.08 : x
  2. Step 2: Convert to fraction form
    2,790/4,177.68 = 2,350.08/x
  3. Step 3: Cross multiply
    2,790x = 4,177.68 × 2,350.08
  4. Step 4: Simplify right side
    2,790x = 9,817,882.21
  5. Step 5: Solve for x
    x = 9,817,882.21/2,790
  6. Step 6: Final answer
    x = 3,518.95

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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.