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Finding the Fourth Proportional to 6,642.56, 9,966 and 5,542.40

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Solution

The fourth proportional to 6,642.56, 9,966 and 5,542.40 is: 8,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.56 : 9,966 = 5,542.40 : x
  2. Step 2: Convert to fraction form
    6,642.56/9,966 = 5,542.40/x
  3. Step 3: Cross multiply
    6,642.56x = 9,966 × 5,542.40
  4. Step 4: Simplify right side
    6,642.56x = 55,235,558.40
  5. Step 5: Solve for x
    x = 55,235,558.40/6,642.56
  6. Step 6: Final answer
    x = 8,315.40

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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.