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Finding the Fourth Proportional to 10,642.79, 15,962.13 and 4,067.42

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Solution

The fourth proportional to 10,642.79, 15,962.13 and 4,067.42 is: 6,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.79 : 15,962.13 = 4,067.42 : x
  2. Step 2: Convert to fraction form
    10,642.79/15,962.13 = 4,067.42/x
  3. Step 3: Cross multiply
    10,642.79x = 15,962.13 × 4,067.42
  4. Step 4: Simplify right side
    10,642.79x = 64,924,606.99
  5. Step 5: Solve for x
    x = 64,924,606.99/10,642.79
  6. Step 6: Final answer
    x = 6,100.34

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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.