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Finding the Fourth Proportional to 10,665.80, 15,985.20 and 4,083.20

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Solution

The fourth proportional to 10,665.80, 15,985.20 and 4,083.20 is: 6,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.80 : 15,985.20 = 4,083.20 : x
  2. Step 2: Convert to fraction form
    10,665.80/15,985.20 = 4,083.20/x
  3. Step 3: Cross multiply
    10,665.80x = 15,985.20 × 4,083.20
  4. Step 4: Simplify right side
    10,665.80x = 65,270,768.64
  5. Step 5: Solve for x
    x = 65,270,768.64/10,665.80
  6. Step 6: Final answer
    x = 6,119.63

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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.