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Finding the Fourth Proportional to 9,349.12, 13,995.89 and 5,640.03

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Solution

The fourth proportional to 9,349.12, 13,995.89 and 5,640.03 is: 8,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.12 : 13,995.89 = 5,640.03 : x
  2. Step 2: Convert to fraction form
    9,349.12/13,995.89 = 5,640.03/x
  3. Step 3: Cross multiply
    9,349.12x = 13,995.89 × 5,640.03
  4. Step 4: Simplify right side
    9,349.12x = 78,937,232.43
  5. Step 5: Solve for x
    x = 78,937,232.43/9,349.12
  6. Step 6: Final answer
    x = 8,443.28

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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.