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Finding the Fourth Proportional to 4,258.78, 6,388.14 and 1,180.78

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Solution

The fourth proportional to 4,258.78, 6,388.14 and 1,180.78 is: 1,771.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.78 : 6,388.14 = 1,180.78 : x
  2. Step 2: Convert to fraction form
    4,258.78/6,388.14 = 1,180.78/x
  3. Step 3: Cross multiply
    4,258.78x = 6,388.14 × 1,180.78
  4. Step 4: Simplify right side
    4,258.78x = 7,542,987.95
  5. Step 5: Solve for x
    x = 7,542,987.95/4,258.78
  6. Step 6: Final answer
    x = 1,771.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.