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Finding the Fourth Proportional to 1,265.46, 1,889.13 and 1,256.73

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Solution

The fourth proportional to 1,265.46, 1,889.13 and 1,256.73 is: 1,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.46 : 1,889.13 = 1,256.73 : x
  2. Step 2: Convert to fraction form
    1,265.46/1,889.13 = 1,256.73/x
  3. Step 3: Cross multiply
    1,265.46x = 1,889.13 × 1,256.73
  4. Step 4: Simplify right side
    1,265.46x = 2,374,126.34
  5. Step 5: Solve for x
    x = 2,374,126.34/1,265.46
  6. Step 6: Final answer
    x = 1,876.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.