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Finding the Fourth Proportional to 30,354.56, 41,824.32 and 20,401.28

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Solution

The fourth proportional to 30,354.56, 41,824.32 and 20,401.28 is: 28,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,354.56 : 41,824.32 = 20,401.28 : x
  2. Step 2: Convert to fraction form
    30,354.56/41,824.32 = 20,401.28/x
  3. Step 3: Cross multiply
    30,354.56x = 41,824.32 × 20,401.28
  4. Step 4: Simplify right side
    30,354.56x = 853,269,663.13
  5. Step 5: Solve for x
    x = 853,269,663.13/30,354.56
  6. Step 6: Final answer
    x = 28,110.10

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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.