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Finding the Fourth Proportional to 18,509.20, 27,751.49 and 10,193.13

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Solution

The fourth proportional to 18,509.20, 27,751.49 and 10,193.13 is: 15,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.20 : 27,751.49 = 10,193.13 : x
  2. Step 2: Convert to fraction form
    18,509.20/27,751.49 = 10,193.13/x
  3. Step 3: Cross multiply
    18,509.20x = 27,751.49 × 10,193.13
  4. Step 4: Simplify right side
    18,509.20x = 282,874,545.26
  5. Step 5: Solve for x
    x = 282,874,545.26/18,509.20
  6. Step 6: Final answer
    x = 15,282.92

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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.