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Finding the Fourth Proportional to 32,002.80, 47,989.80 and 12,274.80

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Solution

The fourth proportional to 32,002.80, 47,989.80 and 12,274.80 is: 18,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.80 : 47,989.80 = 12,274.80 : x
  2. Step 2: Convert to fraction form
    32,002.80/47,989.80 = 12,274.80/x
  3. Step 3: Cross multiply
    32,002.80x = 47,989.80 × 12,274.80
  4. Step 4: Simplify right side
    32,002.80x = 589,065,197.04
  5. Step 5: Solve for x
    x = 589,065,197.04/32,002.80
  6. Step 6: Final answer
    x = 18,406.68

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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.