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Finding the Fourth Proportional to 8,721, 12,029.85 and 5,184

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Solution

The fourth proportional to 8,721, 12,029.85 and 5,184 is: 7,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721 : 12,029.85 = 5,184 : x
  2. Step 2: Convert to fraction form
    8,721/12,029.85 = 5,184/x
  3. Step 3: Cross multiply
    8,721x = 12,029.85 × 5,184
  4. Step 4: Simplify right side
    8,721x = 62,362,742.40
  5. Step 5: Solve for x
    x = 62,362,742.40/8,721
  6. Step 6: Final answer
    x = 7,150.87

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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.