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Finding the Fourth Proportional to 10,467, 15,693.24 and 4,919.28

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Solution

The fourth proportional to 10,467, 15,693.24 and 4,919.28 is: 7,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 15,693.24 = 4,919.28 : x
  2. Step 2: Convert to fraction form
    10,467/15,693.24 = 4,919.28/x
  3. Step 3: Cross multiply
    10,467x = 15,693.24 × 4,919.28
  4. Step 4: Simplify right side
    10,467x = 77,199,441.67
  5. Step 5: Solve for x
    x = 77,199,441.67/10,467
  6. Step 6: Final answer
    x = 7,375.51

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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.