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Finding the Fourth Proportional to 3,926.02, 5,888.67 and 1,328.66

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Solution

The fourth proportional to 3,926.02, 5,888.67 and 1,328.66 is: 1,992.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.02 : 5,888.67 = 1,328.66 : x
  2. Step 2: Convert to fraction form
    3,926.02/5,888.67 = 1,328.66/x
  3. Step 3: Cross multiply
    3,926.02x = 5,888.67 × 1,328.66
  4. Step 4: Simplify right side
    3,926.02x = 7,824,040.28
  5. Step 5: Solve for x
    x = 7,824,040.28/3,926.02
  6. Step 6: Final answer
    x = 1,992.87

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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.