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Finding the Fourth Proportional to 2,478.52, 3,718.20 and 918.52

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Solution

The fourth proportional to 2,478.52, 3,718.20 and 918.52 is: 1,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.52 : 3,718.20 = 918.52 : x
  2. Step 2: Convert to fraction form
    2,478.52/3,718.20 = 918.52/x
  3. Step 3: Cross multiply
    2,478.52x = 3,718.20 × 918.52
  4. Step 4: Simplify right side
    2,478.52x = 3,415,241.06
  5. Step 5: Solve for x
    x = 3,415,241.06/2,478.52
  6. Step 6: Final answer
    x = 1,377.94

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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.