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Finding the Fourth Proportional to 31,996.80, 47,728.80 and 30,441.60

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Solution

The fourth proportional to 31,996.80, 47,728.80 and 30,441.60 is: 45,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.80 : 47,728.80 = 30,441.60 : x
  2. Step 2: Convert to fraction form
    31,996.80/47,728.80 = 30,441.60/x
  3. Step 3: Cross multiply
    31,996.80x = 47,728.80 × 30,441.60
  4. Step 4: Simplify right side
    31,996.80x = 1,452,941,038.08
  5. Step 5: Solve for x
    x = 1,452,941,038.08/31,996.80
  6. Step 6: Final answer
    x = 45,408.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.