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Finding the Fourth Proportional to 33,827.40, 50,643.90 and 30,328.20

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Solution

The fourth proportional to 33,827.40, 50,643.90 and 30,328.20 is: 45,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,827.40 : 50,643.90 = 30,328.20 : x
  2. Step 2: Convert to fraction form
    33,827.40/50,643.90 = 30,328.20/x
  3. Step 3: Cross multiply
    33,827.40x = 50,643.90 × 30,328.20
  4. Step 4: Simplify right side
    33,827.40x = 1,535,938,327.98
  5. Step 5: Solve for x
    x = 1,535,938,327.98/33,827.40
  6. Step 6: Final answer
    x = 45,405.15

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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.