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Finding the Fourth Proportional to 9,759.93, 14,642.64 and 3,920.64

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Solution

The fourth proportional to 9,759.93, 14,642.64 and 3,920.64 is: 5,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.93 : 14,642.64 = 3,920.64 : x
  2. Step 2: Convert to fraction form
    9,759.93/14,642.64 = 3,920.64/x
  3. Step 3: Cross multiply
    9,759.93x = 14,642.64 × 3,920.64
  4. Step 4: Simplify right side
    9,759.93x = 57,408,520.09
  5. Step 5: Solve for x
    x = 57,408,520.09/9,759.93
  6. Step 6: Final answer
    x = 5,882.06

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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.