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Finding the Fourth Proportional to 2,918.72, 4,377.67 and 838.90

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Solution

The fourth proportional to 2,918.72, 4,377.67 and 838.90 is: 1,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,918.72 : 4,377.67 = 838.90 : x
  2. Step 2: Convert to fraction form
    2,918.72/4,377.67 = 838.90/x
  3. Step 3: Cross multiply
    2,918.72x = 4,377.67 × 838.90
  4. Step 4: Simplify right side
    2,918.72x = 3,672,427.36
  5. Step 5: Solve for x
    x = 3,672,427.36/2,918.72
  6. Step 6: Final answer
    x = 1,258.23

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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.