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Finding the Fourth Proportional to 10,647.88, 15,964.95 and 5,101.09

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Solution

The fourth proportional to 10,647.88, 15,964.95 and 5,101.09 is: 7,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.88 : 15,964.95 = 5,101.09 : x
  2. Step 2: Convert to fraction form
    10,647.88/15,964.95 = 5,101.09/x
  3. Step 3: Cross multiply
    10,647.88x = 15,964.95 × 5,101.09
  4. Step 4: Simplify right side
    10,647.88x = 81,438,646.80
  5. Step 5: Solve for x
    x = 81,438,646.80/10,647.88
  6. Step 6: Final answer
    x = 7,648.34

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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.