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Finding the Fourth Proportional to 7,190, 9,922 and 4,003.32

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Solution

The fourth proportional to 7,190, 9,922 and 4,003.32 is: 5,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190 : 9,922 = 4,003.32 : x
  2. Step 2: Convert to fraction form
    7,190/9,922 = 4,003.32/x
  3. Step 3: Cross multiply
    7,190x = 9,922 × 4,003.32
  4. Step 4: Simplify right side
    7,190x = 39,720,941.04
  5. Step 5: Solve for x
    x = 39,720,941.04/7,190
  6. Step 6: Final answer
    x = 5,524.47

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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.