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Finding the Fourth Proportional to 33,810.32, 50,715.80 and 13,030.80

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Solution

The fourth proportional to 33,810.32, 50,715.80 and 13,030.80 is: 19,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,810.32 : 50,715.80 = 13,030.80 : x
  2. Step 2: Convert to fraction form
    33,810.32/50,715.80 = 13,030.80/x
  3. Step 3: Cross multiply
    33,810.32x = 50,715.80 × 13,030.80
  4. Step 4: Simplify right side
    33,810.32x = 660,867,446.64
  5. Step 5: Solve for x
    x = 660,867,446.64/33,810.32
  6. Step 6: Final answer
    x = 19,546.32

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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.