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Finding the Fourth Proportional to 10,251, 15,376.50 and 4,099.32

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Solution

The fourth proportional to 10,251, 15,376.50 and 4,099.32 is: 6,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251 : 15,376.50 = 4,099.32 : x
  2. Step 2: Convert to fraction form
    10,251/15,376.50 = 4,099.32/x
  3. Step 3: Cross multiply
    10,251x = 15,376.50 × 4,099.32
  4. Step 4: Simplify right side
    10,251x = 63,033,193.98
  5. Step 5: Solve for x
    x = 63,033,193.98/10,251
  6. Step 6: Final answer
    x = 6,148.98

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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.