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Finding the Fourth Proportional to 9,290.14, 13,938.78 and 5,594.92

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Solution

The fourth proportional to 9,290.14, 13,938.78 and 5,594.92 is: 8,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.14 : 13,938.78 = 5,594.92 : x
  2. Step 2: Convert to fraction form
    9,290.14/13,938.78 = 5,594.92/x
  3. Step 3: Cross multiply
    9,290.14x = 13,938.78 × 5,594.92
  4. Step 4: Simplify right side
    9,290.14x = 77,986,359.00
  5. Step 5: Solve for x
    x = 77,986,359.00/9,290.14
  6. Step 6: Final answer
    x = 8,394.53

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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.