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Finding the Fourth Proportional to 9,318.48, 12,857.80 and 5,338.68

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Solution

The fourth proportional to 9,318.48, 12,857.80 and 5,338.68 is: 7,366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.48 : 12,857.80 = 5,338.68 : x
  2. Step 2: Convert to fraction form
    9,318.48/12,857.80 = 5,338.68/x
  3. Step 3: Cross multiply
    9,318.48x = 12,857.80 × 5,338.68
  4. Step 4: Simplify right side
    9,318.48x = 68,643,679.70
  5. Step 5: Solve for x
    x = 68,643,679.70/9,318.48
  6. Step 6: Final answer
    x = 7,366.40

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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.