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Finding the Fourth Proportional to 9,264.60, 13,896.90 and 5,311.80

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Solution

The fourth proportional to 9,264.60, 13,896.90 and 5,311.80 is: 7,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.60 : 13,896.90 = 5,311.80 : x
  2. Step 2: Convert to fraction form
    9,264.60/13,896.90 = 5,311.80/x
  3. Step 3: Cross multiply
    9,264.60x = 13,896.90 × 5,311.80
  4. Step 4: Simplify right side
    9,264.60x = 73,817,553.42
  5. Step 5: Solve for x
    x = 73,817,553.42/9,264.60
  6. Step 6: Final answer
    x = 7,967.70

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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.