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Finding the Fourth Proportional to 22,420.86, 30,942.18 and 12,349.29

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Solution

The fourth proportional to 22,420.86, 30,942.18 and 12,349.29 is: 17,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,420.86 : 30,942.18 = 12,349.29 : x
  2. Step 2: Convert to fraction form
    22,420.86/30,942.18 = 12,349.29/x
  3. Step 3: Cross multiply
    22,420.86x = 30,942.18 × 12,349.29
  4. Step 4: Simplify right side
    22,420.86x = 382,113,954.05
  5. Step 5: Solve for x
    x = 382,113,954.05/22,420.86
  6. Step 6: Final answer
    x = 17,042.79

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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.