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Finding the Fourth Proportional to 7,188.86, 9,920.41 and 4,002

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Solution

The fourth proportional to 7,188.86, 9,920.41 and 4,002 is: 5,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.86 : 9,920.41 = 4,002 : x
  2. Step 2: Convert to fraction form
    7,188.86/9,920.41 = 4,002/x
  3. Step 3: Cross multiply
    7,188.86x = 9,920.41 × 4,002
  4. Step 4: Simplify right side
    7,188.86x = 39,701,480.82
  5. Step 5: Solve for x
    x = 39,701,480.82/7,188.86
  6. Step 6: Final answer
    x = 5,522.64

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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.