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Finding the Fourth Proportional to 10,245, 15,366.12 and 4,000.65

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Solution

The fourth proportional to 10,245, 15,366.12 and 4,000.65 is: 6,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245 : 15,366.12 = 4,000.65 : x
  2. Step 2: Convert to fraction form
    10,245/15,366.12 = 4,000.65/x
  3. Step 3: Cross multiply
    10,245x = 15,366.12 × 4,000.65
  4. Step 4: Simplify right side
    10,245x = 61,474,467.98
  5. Step 5: Solve for x
    x = 61,474,467.98/10,245
  6. Step 6: Final answer
    x = 6,000.44

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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.