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Finding the Fourth Proportional to 5,648.47, 8,472.83 and 3,975.76

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Solution

The fourth proportional to 5,648.47, 8,472.83 and 3,975.76 is: 5,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.47 : 8,472.83 = 3,975.76 : x
  2. Step 2: Convert to fraction form
    5,648.47/8,472.83 = 3,975.76/x
  3. Step 3: Cross multiply
    5,648.47x = 8,472.83 × 3,975.76
  4. Step 4: Simplify right side
    5,648.47x = 33,685,938.60
  5. Step 5: Solve for x
    x = 33,685,938.60/5,648.47
  6. Step 6: Final answer
    x = 5,963.73

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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.