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Finding the Fourth Proportional to 32,150.40, 48,232.80 and 9,964.80

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Solution

The fourth proportional to 32,150.40, 48,232.80 and 9,964.80 is: 14,949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.40 : 48,232.80 = 9,964.80 : x
  2. Step 2: Convert to fraction form
    32,150.40/48,232.80 = 9,964.80/x
  3. Step 3: Cross multiply
    32,150.40x = 48,232.80 × 9,964.80
  4. Step 4: Simplify right side
    32,150.40x = 480,630,205.44
  5. Step 5: Solve for x
    x = 480,630,205.44/32,150.40
  6. Step 6: Final answer
    x = 14,949.43

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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.