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Finding the Fourth Proportional to 1,768.58, 2,439.58 and 1,138.90

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Solution

The fourth proportional to 1,768.58, 2,439.58 and 1,138.90 is: 1,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.58 : 2,439.58 = 1,138.90 : x
  2. Step 2: Convert to fraction form
    1,768.58/2,439.58 = 1,138.90/x
  3. Step 3: Cross multiply
    1,768.58x = 2,439.58 × 1,138.90
  4. Step 4: Simplify right side
    1,768.58x = 2,778,437.66
  5. Step 5: Solve for x
    x = 2,778,437.66/1,768.58
  6. Step 6: Final answer
    x = 1,571.00

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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.