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Finding the Fourth Proportional to 12,821, 19,231.52 and 3,587

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Solution

The fourth proportional to 12,821, 19,231.52 and 3,587 is: 5,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821 : 19,231.52 = 3,587 : x
  2. Step 2: Convert to fraction form
    12,821/19,231.52 = 3,587/x
  3. Step 3: Cross multiply
    12,821x = 19,231.52 × 3,587
  4. Step 4: Simplify right side
    12,821x = 68,983,462.24
  5. Step 5: Solve for x
    x = 68,983,462.24/12,821
  6. Step 6: Final answer
    x = 5,380.51

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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.