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Finding the Fourth Proportional to 9,394.28, 12,962.94 and 5,202.56

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Solution

The fourth proportional to 9,394.28, 12,962.94 and 5,202.56 is: 7,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.28 : 12,962.94 = 5,202.56 : x
  2. Step 2: Convert to fraction form
    9,394.28/12,962.94 = 5,202.56/x
  3. Step 3: Cross multiply
    9,394.28x = 12,962.94 × 5,202.56
  4. Step 4: Simplify right side
    9,394.28x = 67,440,473.13
  5. Step 5: Solve for x
    x = 67,440,473.13/9,394.28
  6. Step 6: Final answer
    x = 7,178.89

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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.