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Finding the Fourth Proportional to 31,704.80, 47,555.71 and 12,980.20

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Solution

The fourth proportional to 31,704.80, 47,555.71 and 12,980.20 is: 19,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.80 : 47,555.71 = 12,980.20 : x
  2. Step 2: Convert to fraction form
    31,704.80/47,555.71 = 12,980.20/x
  3. Step 3: Cross multiply
    31,704.80x = 47,555.71 × 12,980.20
  4. Step 4: Simplify right side
    31,704.80x = 617,282,808.00
  5. Step 5: Solve for x
    x = 617,282,808.00/31,704.80
  6. Step 6: Final answer
    x = 19,469.70

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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.