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Finding the Fourth Proportional to 10,643.84, 15,965.48 and 5,099.44

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Solution

The fourth proportional to 10,643.84, 15,965.48 and 5,099.44 is: 7,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.84 : 15,965.48 = 5,099.44 : x
  2. Step 2: Convert to fraction form
    10,643.84/15,965.48 = 5,099.44/x
  3. Step 3: Cross multiply
    10,643.84x = 15,965.48 × 5,099.44
  4. Step 4: Simplify right side
    10,643.84x = 81,415,007.33
  5. Step 5: Solve for x
    x = 81,415,007.33/10,643.84
  6. Step 6: Final answer
    x = 7,649.03

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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.