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Finding the Fourth Proportional to 13,856, 19,121.30 and 7,568.36

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Solution

The fourth proportional to 13,856, 19,121.30 and 7,568.36 is: 10,444.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 19,121.30 = 7,568.36 : x
  2. Step 2: Convert to fraction form
    13,856/19,121.30 = 7,568.36/x
  3. Step 3: Cross multiply
    13,856x = 19,121.30 × 7,568.36
  4. Step 4: Simplify right side
    13,856x = 144,716,882.07
  5. Step 5: Solve for x
    x = 144,716,882.07/13,856
  6. Step 6: Final answer
    x = 10,444.35

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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.