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Finding the Fourth Proportional to 2,253.76, 3,107.12 and 1,580.65

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Solution

The fourth proportional to 2,253.76, 3,107.12 and 1,580.65 is: 2,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.76 : 3,107.12 = 1,580.65 : x
  2. Step 2: Convert to fraction form
    2,253.76/3,107.12 = 1,580.65/x
  3. Step 3: Cross multiply
    2,253.76x = 3,107.12 × 1,580.65
  4. Step 4: Simplify right side
    2,253.76x = 4,911,253.56
  5. Step 5: Solve for x
    x = 4,911,253.56/2,253.76
  6. Step 6: Final answer
    x = 2,179.14

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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.