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Finding the Fourth Proportional to 47,739.84, 71,604.16 and 12,682.20

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Solution

The fourth proportional to 47,739.84, 71,604.16 and 12,682.20 is: 19,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,739.84 : 71,604.16 = 12,682.20 : x
  2. Step 2: Convert to fraction form
    47,739.84/71,604.16 = 12,682.20/x
  3. Step 3: Cross multiply
    47,739.84x = 71,604.16 × 12,682.20
  4. Step 4: Simplify right side
    47,739.84x = 908,098,277.95
  5. Step 5: Solve for x
    x = 908,098,277.95/47,739.84
  6. Step 6: Final answer
    x = 19,021.81

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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.