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Finding the Fourth Proportional to 3,648.48, 5,472.96 and 1,308.96

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Solution

The fourth proportional to 3,648.48, 5,472.96 and 1,308.96 is: 1,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.48 : 5,472.96 = 1,308.96 : x
  2. Step 2: Convert to fraction form
    3,648.48/5,472.96 = 1,308.96/x
  3. Step 3: Cross multiply
    3,648.48x = 5,472.96 × 1,308.96
  4. Step 4: Simplify right side
    3,648.48x = 7,163,885.72
  5. Step 5: Solve for x
    x = 7,163,885.72/3,648.48
  6. Step 6: Final answer
    x = 1,963.53

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1.5x scale

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.