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Finding the Fourth Proportional to 6,442.70, 8,890.89 and 3,648.02

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Solution

The fourth proportional to 6,442.70, 8,890.89 and 3,648.02 is: 5,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.70 : 8,890.89 = 3,648.02 : x
  2. Step 2: Convert to fraction form
    6,442.70/8,890.89 = 3,648.02/x
  3. Step 3: Cross multiply
    6,442.70x = 8,890.89 × 3,648.02
  4. Step 4: Simplify right side
    6,442.70x = 32,434,144.54
  5. Step 5: Solve for x
    x = 32,434,144.54/6,442.70
  6. Step 6: Final answer
    x = 5,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.