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Finding the Fourth Proportional to 9,422.60, 13,003.77 and 5,230.85

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Solution

The fourth proportional to 9,422.60, 13,003.77 and 5,230.85 is: 7,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.60 : 13,003.77 = 5,230.85 : x
  2. Step 2: Convert to fraction form
    9,422.60/13,003.77 = 5,230.85/x
  3. Step 3: Cross multiply
    9,422.60x = 13,003.77 × 5,230.85
  4. Step 4: Simplify right side
    9,422.60x = 68,020,679.13
  5. Step 5: Solve for x
    x = 68,020,679.13/9,422.60
  6. Step 6: Final answer
    x = 7,218.89

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