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Finding the Fourth Proportional to 20,351, 28,082.98 and 11,398.28

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Solution

The fourth proportional to 20,351, 28,082.98 and 11,398.28 is: 15,728.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,351 : 28,082.98 = 11,398.28 : x
  2. Step 2: Convert to fraction form
    20,351/28,082.98 = 11,398.28/x
  3. Step 3: Cross multiply
    20,351x = 28,082.98 × 11,398.28
  4. Step 4: Simplify right side
    20,351x = 320,097,669.27
  5. Step 5: Solve for x
    x = 320,097,669.27/20,351
  6. Step 6: Final answer
    x = 15,728.84

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1.5x scale

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.