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Finding the Fourth Proportional to 9,290.84, 13,932.61 and 3,743.15

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Solution

The fourth proportional to 9,290.84, 13,932.61 and 3,743.15 is: 5,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.84 : 13,932.61 = 3,743.15 : x
  2. Step 2: Convert to fraction form
    9,290.84/13,932.61 = 3,743.15/x
  3. Step 3: Cross multiply
    9,290.84x = 13,932.61 × 3,743.15
  4. Step 4: Simplify right side
    9,290.84x = 52,151,770.10
  5. Step 5: Solve for x
    x = 52,151,770.10/9,290.84
  6. Step 6: Final answer
    x = 5,613.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.