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Finding the Fourth Proportional to 33,454, 50,152.38 and 13,720.24

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Solution

The fourth proportional to 33,454, 50,152.38 and 13,720.24 is: 20,568.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454 : 50,152.38 = 13,720.24 : x
  2. Step 2: Convert to fraction form
    33,454/50,152.38 = 13,720.24/x
  3. Step 3: Cross multiply
    33,454x = 50,152.38 × 13,720.24
  4. Step 4: Simplify right side
    33,454x = 688,102,690.17
  5. Step 5: Solve for x
    x = 688,102,690.17/33,454
  6. Step 6: Final answer
    x = 20,568.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.