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Finding the Fourth Proportional to 10,172.56, 15,185.54 and 8,860

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Solution

The fourth proportional to 10,172.56, 15,185.54 and 8,860 is: 13,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.56 : 15,185.54 = 8,860 : x
  2. Step 2: Convert to fraction form
    10,172.56/15,185.54 = 8,860/x
  3. Step 3: Cross multiply
    10,172.56x = 15,185.54 × 8,860
  4. Step 4: Simplify right side
    10,172.56x = 134,543,884.40
  5. Step 5: Solve for x
    x = 134,543,884.40/10,172.56
  6. Step 6: Final answer
    x = 13,226.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.