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Finding the Fourth Proportional to 13,856, 19,121.38 and 7,568.78

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Solution

The fourth proportional to 13,856, 19,121.38 and 7,568.78 is: 10,444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 19,121.38 = 7,568.78 : x
  2. Step 2: Convert to fraction form
    13,856/19,121.38 = 7,568.78/x
  3. Step 3: Cross multiply
    13,856x = 19,121.38 × 7,568.78
  4. Step 4: Simplify right side
    13,856x = 144,725,518.52
  5. Step 5: Solve for x
    x = 144,725,518.52/13,856
  6. Step 6: Final answer
    x = 10,444.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.