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Finding the Fourth Proportional to 22,358, 30,846.18 and 13,408.40

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Solution

The fourth proportional to 22,358, 30,846.18 and 13,408.40 is: 18,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358 : 30,846.18 = 13,408.40 : x
  2. Step 2: Convert to fraction form
    22,358/30,846.18 = 13,408.40/x
  3. Step 3: Cross multiply
    22,358x = 30,846.18 × 13,408.40
  4. Step 4: Simplify right side
    22,358x = 413,597,919.91
  5. Step 5: Solve for x
    x = 413,597,919.91/22,358
  6. Step 6: Final answer
    x = 18,498.88

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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.