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Finding the Fourth Proportional to 2,153.74, 2,972.37 and 1,257.79

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Solution

The fourth proportional to 2,153.74, 2,972.37 and 1,257.79 is: 1,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.74 : 2,972.37 = 1,257.79 : x
  2. Step 2: Convert to fraction form
    2,153.74/2,972.37 = 1,257.79/x
  3. Step 3: Cross multiply
    2,153.74x = 2,972.37 × 1,257.79
  4. Step 4: Simplify right side
    2,153.74x = 3,738,617.26
  5. Step 5: Solve for x
    x = 3,738,617.26/2,153.74
  6. Step 6: Final answer
    x = 1,735.87

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1.5x scale

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.