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Finding the Fourth Proportional to 10,157.43, 15,229.98 and 6,643.19

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Solution

The fourth proportional to 10,157.43, 15,229.98 and 6,643.19 is: 9,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.43 : 15,229.98 = 6,643.19 : x
  2. Step 2: Convert to fraction form
    10,157.43/15,229.98 = 6,643.19/x
  3. Step 3: Cross multiply
    10,157.43x = 15,229.98 × 6,643.19
  4. Step 4: Simplify right side
    10,157.43x = 101,175,650.84
  5. Step 5: Solve for x
    x = 101,175,650.84/10,157.43
  6. Step 6: Final answer
    x = 9,960.75

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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.