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Finding the Fourth Proportional to 9,237.12, 13,860 and 5,344.80

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Solution

The fourth proportional to 9,237.12, 13,860 and 5,344.80 is: 8,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.12 : 13,860 = 5,344.80 : x
  2. Step 2: Convert to fraction form
    9,237.12/13,860 = 5,344.80/x
  3. Step 3: Cross multiply
    9,237.12x = 13,860 × 5,344.80
  4. Step 4: Simplify right side
    9,237.12x = 74,078,928
  5. Step 5: Solve for x
    x = 74,078,928/9,237.12
  6. Step 6: Final answer
    x = 8,019.70

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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.