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Finding the Fourth Proportional to 5,968.38, 8,239.78 and 3,985.50

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Solution

The fourth proportional to 5,968.38, 8,239.78 and 3,985.50 is: 5,502.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.38 : 8,239.78 = 3,985.50 : x
  2. Step 2: Convert to fraction form
    5,968.38/8,239.78 = 3,985.50/x
  3. Step 3: Cross multiply
    5,968.38x = 8,239.78 × 3,985.50
  4. Step 4: Simplify right side
    5,968.38x = 32,839,643.19
  5. Step 5: Solve for x
    x = 32,839,643.19/5,968.38
  6. Step 6: Final answer
    x = 5,502.27

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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.