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Finding the Fourth Proportional to 8,821, 13,231.50 and 3,957

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Solution

The fourth proportional to 8,821, 13,231.50 and 3,957 is: 5,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821 : 13,231.50 = 3,957 : x
  2. Step 2: Convert to fraction form
    8,821/13,231.50 = 3,957/x
  3. Step 3: Cross multiply
    8,821x = 13,231.50 × 3,957
  4. Step 4: Simplify right side
    8,821x = 52,357,045.50
  5. Step 5: Solve for x
    x = 52,357,045.50/8,821
  6. Step 6: Final answer
    x = 5,935.50

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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.