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Finding the Fourth Proportional to 22,398.54, 30,910.95 and 13,446.78

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Solution

The fourth proportional to 22,398.54, 30,910.95 and 13,446.78 is: 18,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398.54 : 30,910.95 = 13,446.78 : x
  2. Step 2: Convert to fraction form
    22,398.54/30,910.95 = 13,446.78/x
  3. Step 3: Cross multiply
    22,398.54x = 30,910.95 × 13,446.78
  4. Step 4: Simplify right side
    22,398.54x = 415,652,744.24
  5. Step 5: Solve for x
    x = 415,652,744.24/22,398.54
  6. Step 6: Final answer
    x = 18,557.14

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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.