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Finding the Fourth Proportional to 3,648.63, 5,472.96 and 1,308.54

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Solution

The fourth proportional to 3,648.63, 5,472.96 and 1,308.54 is: 1,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.63 : 5,472.96 = 1,308.54 : x
  2. Step 2: Convert to fraction form
    3,648.63/5,472.96 = 1,308.54/x
  3. Step 3: Cross multiply
    3,648.63x = 5,472.96 × 1,308.54
  4. Step 4: Simplify right side
    3,648.63x = 7,161,587.08
  5. Step 5: Solve for x
    x = 7,161,587.08/3,648.63
  6. Step 6: Final answer
    x = 1,962.82

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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.