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Finding the Fourth Proportional to 9,308, 13,962 and 2,382.50

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Solution

The fourth proportional to 9,308, 13,962 and 2,382.50 is: 3,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308 : 13,962 = 2,382.50 : x
  2. Step 2: Convert to fraction form
    9,308/13,962 = 2,382.50/x
  3. Step 3: Cross multiply
    9,308x = 13,962 × 2,382.50
  4. Step 4: Simplify right side
    9,308x = 33,264,465
  5. Step 5: Solve for x
    x = 33,264,465/9,308
  6. Step 6: Final answer
    x = 3,573.75

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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.