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Finding the Fourth Proportional to 2,488.34, 3,732.52 and 928.28

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Solution

The fourth proportional to 2,488.34, 3,732.52 and 928.28 is: 1,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.34 : 3,732.52 = 928.28 : x
  2. Step 2: Convert to fraction form
    2,488.34/3,732.52 = 928.28/x
  3. Step 3: Cross multiply
    2,488.34x = 3,732.52 × 928.28
  4. Step 4: Simplify right side
    2,488.34x = 3,464,823.67
  5. Step 5: Solve for x
    x = 3,464,823.67/2,488.34
  6. Step 6: Final answer
    x = 1,392.42

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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.