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Finding the Fourth Proportional to 2,738, 4,106.13 and 888.69

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Solution

The fourth proportional to 2,738, 4,106.13 and 888.69 is: 1,332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738 : 4,106.13 = 888.69 : x
  2. Step 2: Convert to fraction form
    2,738/4,106.13 = 888.69/x
  3. Step 3: Cross multiply
    2,738x = 4,106.13 × 888.69
  4. Step 4: Simplify right side
    2,738x = 3,649,076.67
  5. Step 5: Solve for x
    x = 3,649,076.67/2,738
  6. Step 6: Final answer
    x = 1,332.75

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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.