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Finding the Fourth Proportional to 31,415.80, 47,123.70 and 12,704.80

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Solution

The fourth proportional to 31,415.80, 47,123.70 and 12,704.80 is: 19,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.80 : 47,123.70 = 12,704.80 : x
  2. Step 2: Convert to fraction form
    31,415.80/47,123.70 = 12,704.80/x
  3. Step 3: Cross multiply
    31,415.80x = 47,123.70 × 12,704.80
  4. Step 4: Simplify right side
    31,415.80x = 598,697,183.76
  5. Step 5: Solve for x
    x = 598,697,183.76/31,415.80
  6. Step 6: Final answer
    x = 19,057.20

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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.