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Finding the Fourth Proportional to 28,697.50, 43,047.87 and 10,229.50

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Solution

The fourth proportional to 28,697.50, 43,047.87 and 10,229.50 is: 15,344.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,697.50 : 43,047.87 = 10,229.50 : x
  2. Step 2: Convert to fraction form
    28,697.50/43,047.87 = 10,229.50/x
  3. Step 3: Cross multiply
    28,697.50x = 43,047.87 × 10,229.50
  4. Step 4: Simplify right side
    28,697.50x = 440,358,186.17
  5. Step 5: Solve for x
    x = 440,358,186.17/28,697.50
  6. Step 6: Final answer
    x = 15,344.83

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Why These Related Problems?

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