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Finding the Fourth Proportional to 2,138.42, 2,951.14 and 1,254.48

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Solution

The fourth proportional to 2,138.42, 2,951.14 and 1,254.48 is: 1,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.42 : 2,951.14 = 1,254.48 : x
  2. Step 2: Convert to fraction form
    2,138.42/2,951.14 = 1,254.48/x
  3. Step 3: Cross multiply
    2,138.42x = 2,951.14 × 1,254.48
  4. Step 4: Simplify right side
    2,138.42x = 3,702,146.11
  5. Step 5: Solve for x
    x = 3,702,146.11/2,138.42
  6. Step 6: Final answer
    x = 1,731.25

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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.