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Finding the Fourth Proportional to 2,138.76, 2,951.48 and 1,207.24

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Solution

The fourth proportional to 2,138.76, 2,951.48 and 1,207.24 is: 1,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.76 : 2,951.48 = 1,207.24 : x
  2. Step 2: Convert to fraction form
    2,138.76/2,951.48 = 1,207.24/x
  3. Step 3: Cross multiply
    2,138.76x = 2,951.48 × 1,207.24
  4. Step 4: Simplify right side
    2,138.76x = 3,563,144.72
  5. Step 5: Solve for x
    x = 3,563,144.72/2,138.76
  6. Step 6: Final answer
    x = 1,665.99

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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.