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Finding the Fourth Proportional to 12,082.70, 16,670.03 and 7,837.02

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Solution

The fourth proportional to 12,082.70, 16,670.03 and 7,837.02 is: 10,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.70 : 16,670.03 = 7,837.02 : x
  2. Step 2: Convert to fraction form
    12,082.70/16,670.03 = 7,837.02/x
  3. Step 3: Cross multiply
    12,082.70x = 16,670.03 × 7,837.02
  4. Step 4: Simplify right side
    12,082.70x = 130,643,319.33
  5. Step 5: Solve for x
    x = 130,643,319.33/12,082.70
  6. Step 6: Final answer
    x = 10,812.43

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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.