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Finding the Fourth Proportional to 12,772.71, 19,118.12 and 6,834.77

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Solution

The fourth proportional to 12,772.71, 19,118.12 and 6,834.77 is: 10,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.71 : 19,118.12 = 6,834.77 : x
  2. Step 2: Convert to fraction form
    12,772.71/19,118.12 = 6,834.77/x
  3. Step 3: Cross multiply
    12,772.71x = 19,118.12 × 6,834.77
  4. Step 4: Simplify right side
    12,772.71x = 130,667,823.27
  5. Step 5: Solve for x
    x = 130,667,823.27/12,772.71
  6. Step 6: Final answer
    x = 10,230.23

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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.