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Finding the Fourth Proportional to 33,232.80, 49,832.10 and 9,856.20

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Solution

The fourth proportional to 33,232.80, 49,832.10 and 9,856.20 is: 14,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,232.80 : 49,832.10 = 9,856.20 : x
  2. Step 2: Convert to fraction form
    33,232.80/49,832.10 = 9,856.20/x
  3. Step 3: Cross multiply
    33,232.80x = 49,832.10 × 9,856.20
  4. Step 4: Simplify right side
    33,232.80x = 491,155,144.02
  5. Step 5: Solve for x
    x = 491,155,144.02/33,232.80
  6. Step 6: Final answer
    x = 14,779.23

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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.