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Finding the Fourth Proportional to 9,276.26, 13,910.07 and 5,381.78

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Solution

The fourth proportional to 9,276.26, 13,910.07 and 5,381.78 is: 8,070.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.26 : 13,910.07 = 5,381.78 : x
  2. Step 2: Convert to fraction form
    9,276.26/13,910.07 = 5,381.78/x
  3. Step 3: Cross multiply
    9,276.26x = 13,910.07 × 5,381.78
  4. Step 4: Simplify right side
    9,276.26x = 74,860,936.52
  5. Step 5: Solve for x
    x = 74,860,936.52/9,276.26
  6. Step 6: Final answer
    x = 8,070.16

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