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Finding the Fourth Proportional to 33,832.80, 50,748.72 and 10,459.20

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Solution

The fourth proportional to 33,832.80, 50,748.72 and 10,459.20 is: 15,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832.80 : 50,748.72 = 10,459.20 : x
  2. Step 2: Convert to fraction form
    33,832.80/50,748.72 = 10,459.20/x
  3. Step 3: Cross multiply
    33,832.80x = 50,748.72 × 10,459.20
  4. Step 4: Simplify right side
    33,832.80x = 530,791,012.22
  5. Step 5: Solve for x
    x = 530,791,012.22/33,832.80
  6. Step 6: Final answer
    x = 15,688.65

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1.5x scale

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.