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Finding the Fourth Proportional to 21,082.45, 31,623.67 and 7,039.88

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Solution

The fourth proportional to 21,082.45, 31,623.67 and 7,039.88 is: 10,559.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.45 : 31,623.67 = 7,039.88 : x
  2. Step 2: Convert to fraction form
    21,082.45/31,623.67 = 7,039.88/x
  3. Step 3: Cross multiply
    21,082.45x = 31,623.67 × 7,039.88
  4. Step 4: Simplify right side
    21,082.45x = 222,626,929.82
  5. Step 5: Solve for x
    x = 222,626,929.82/21,082.45
  6. Step 6: Final answer
    x = 10,559.82

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1.5x scale

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.