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Finding the Fourth Proportional to 12,706.29, 19,059.17 and 6,785.19

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Solution

The fourth proportional to 12,706.29, 19,059.17 and 6,785.19 is: 10,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.29 : 19,059.17 = 6,785.19 : x
  2. Step 2: Convert to fraction form
    12,706.29/19,059.17 = 6,785.19/x
  3. Step 3: Cross multiply
    12,706.29x = 19,059.17 × 6,785.19
  4. Step 4: Simplify right side
    12,706.29x = 129,320,055.77
  5. Step 5: Solve for x
    x = 129,320,055.77/12,706.29
  6. Step 6: Final answer
    x = 10,177.64

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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.