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Finding the Fourth Proportional to 10,816, 14,926.06 and 6,100.28

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Solution

The fourth proportional to 10,816, 14,926.06 and 6,100.28 is: 8,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816 : 14,926.06 = 6,100.28 : x
  2. Step 2: Convert to fraction form
    10,816/14,926.06 = 6,100.28/x
  3. Step 3: Cross multiply
    10,816x = 14,926.06 × 6,100.28
  4. Step 4: Simplify right side
    10,816x = 91,053,145.30
  5. Step 5: Solve for x
    x = 91,053,145.30/10,816
  6. Step 6: Final answer
    x = 8,418.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.