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Finding the Fourth Proportional to 15,282, 21,082.48 and 10,809.59

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Solution

The fourth proportional to 15,282, 21,082.48 and 10,809.59 is: 14,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,282 : 21,082.48 = 10,809.59 : x
  2. Step 2: Convert to fraction form
    15,282/21,082.48 = 10,809.59/x
  3. Step 3: Cross multiply
    15,282x = 21,082.48 × 10,809.59
  4. Step 4: Simplify right side
    15,282x = 227,892,832.55
  5. Step 5: Solve for x
    x = 227,892,832.55/15,282
  6. Step 6: Final answer
    x = 14,912.50

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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.