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Finding the Fourth Proportional to 1,388.96, 1,906.18 and 1,257.68

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Solution

The fourth proportional to 1,388.96, 1,906.18 and 1,257.68 is: 1,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.96 : 1,906.18 = 1,257.68 : x
  2. Step 2: Convert to fraction form
    1,388.96/1,906.18 = 1,257.68/x
  3. Step 3: Cross multiply
    1,388.96x = 1,906.18 × 1,257.68
  4. Step 4: Simplify right side
    1,388.96x = 2,397,364.46
  5. Step 5: Solve for x
    x = 2,397,364.46/1,388.96
  6. Step 6: Final answer
    x = 1,726.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.