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Finding the Fourth Proportional to 10,665.95, 15,997.08 and 4,821.20

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Solution

The fourth proportional to 10,665.95, 15,997.08 and 4,821.20 is: 7,230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.95 : 15,997.08 = 4,821.20 : x
  2. Step 2: Convert to fraction form
    10,665.95/15,997.08 = 4,821.20/x
  3. Step 3: Cross multiply
    10,665.95x = 15,997.08 × 4,821.20
  4. Step 4: Simplify right side
    10,665.95x = 77,125,122.10
  5. Step 5: Solve for x
    x = 77,125,122.10/10,665.95
  6. Step 6: Final answer
    x = 7,230.97

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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.