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Finding the Fourth Proportional to 2,275.70, 3,179.50 and 2,275.70

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Solution

The fourth proportional to 2,275.70, 3,179.50 and 2,275.70 is: 3,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.70 : 3,179.50 = 2,275.70 : x
  2. Step 2: Convert to fraction form
    2,275.70/3,179.50 = 2,275.70/x
  3. Step 3: Cross multiply
    2,275.70x = 3,179.50 × 2,275.70
  4. Step 4: Simplify right side
    2,275.70x = 7,235,588.15
  5. Step 5: Solve for x
    x = 7,235,588.15/2,275.70
  6. Step 6: Final answer
    x = 3,179.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.