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Finding the Fourth Proportional to 12,771, 19,159.19 and 4,006.80

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Solution

The fourth proportional to 12,771, 19,159.19 and 4,006.80 is: 6,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771 : 19,159.19 = 4,006.80 : x
  2. Step 2: Convert to fraction form
    12,771/19,159.19 = 4,006.80/x
  3. Step 3: Cross multiply
    12,771x = 19,159.19 × 4,006.80
  4. Step 4: Simplify right side
    12,771x = 76,767,022.46
  5. Step 5: Solve for x
    x = 76,767,022.46/12,771
  6. Step 6: Final answer
    x = 6,011.04

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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.