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Finding the Fourth Proportional to 9,318.73, 13,978.08 and 2,744.98

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Solution

The fourth proportional to 9,318.73, 13,978.08 and 2,744.98 is: 4,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.73 : 13,978.08 = 2,744.98 : x
  2. Step 2: Convert to fraction form
    9,318.73/13,978.08 = 2,744.98/x
  3. Step 3: Cross multiply
    9,318.73x = 13,978.08 × 2,744.98
  4. Step 4: Simplify right side
    9,318.73x = 38,369,550.04
  5. Step 5: Solve for x
    x = 38,369,550.04/9,318.73
  6. Step 6: Final answer
    x = 4,117.47

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Why These Related Problems?

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