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Finding the Fourth Proportional to 13,886.62, 19,163.07 and 7,920.21

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Solution

The fourth proportional to 13,886.62, 19,163.07 and 7,920.21 is: 10,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.62 : 19,163.07 = 7,920.21 : x
  2. Step 2: Convert to fraction form
    13,886.62/19,163.07 = 7,920.21/x
  3. Step 3: Cross multiply
    13,886.62x = 19,163.07 × 7,920.21
  4. Step 4: Simplify right side
    13,886.62x = 151,775,499.04
  5. Step 5: Solve for x
    x = 151,775,499.04/13,886.62
  6. Step 6: Final answer
    x = 10,929.62

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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.