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Finding the Fourth Proportional to 2,653.57, 3,974.28 and 1,267.88

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Solution

The fourth proportional to 2,653.57, 3,974.28 and 1,267.88 is: 1,898.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.57 : 3,974.28 = 1,267.88 : x
  2. Step 2: Convert to fraction form
    2,653.57/3,974.28 = 1,267.88/x
  3. Step 3: Cross multiply
    2,653.57x = 3,974.28 × 1,267.88
  4. Step 4: Simplify right side
    2,653.57x = 5,038,890.26
  5. Step 5: Solve for x
    x = 5,038,890.26/2,653.57
  6. Step 6: Final answer
    x = 1,898.91

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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.