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Finding the Fourth Proportional to 33,830.40, 50,740.80 and 10,459.20

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Solution

The fourth proportional to 33,830.40, 50,740.80 and 10,459.20 is: 15,687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.40 : 50,740.80 = 10,459.20 : x
  2. Step 2: Convert to fraction form
    33,830.40/50,740.80 = 10,459.20/x
  3. Step 3: Cross multiply
    33,830.40x = 50,740.80 × 10,459.20
  4. Step 4: Simplify right side
    33,830.40x = 530,708,175.36
  5. Step 5: Solve for x
    x = 530,708,175.36/33,830.40
  6. Step 6: Final answer
    x = 15,687.32

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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.