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Finding the Fourth Proportional to 18,993.12, 28,464.84 and 10,209.12

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Solution

The fourth proportional to 18,993.12, 28,464.84 and 10,209.12 is: 15,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,993.12 : 28,464.84 = 10,209.12 : x
  2. Step 2: Convert to fraction form
    18,993.12/28,464.84 = 10,209.12/x
  3. Step 3: Cross multiply
    18,993.12x = 28,464.84 × 10,209.12
  4. Step 4: Simplify right side
    18,993.12x = 290,600,967.34
  5. Step 5: Solve for x
    x = 290,600,967.34/18,993.12
  6. Step 6: Final answer
    x = 15,300.33

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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.