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Finding the Fourth Proportional to 12,509.97, 18,774.17 and 10,074.19

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Solution

The fourth proportional to 12,509.97, 18,774.17 and 10,074.19 is: 15,118.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.97 : 18,774.17 = 10,074.19 : x
  2. Step 2: Convert to fraction form
    12,509.97/18,774.17 = 10,074.19/x
  3. Step 3: Cross multiply
    12,509.97x = 18,774.17 × 10,074.19
  4. Step 4: Simplify right side
    12,509.97x = 189,134,555.67
  5. Step 5: Solve for x
    x = 189,134,555.67/12,509.97
  6. Step 6: Final answer
    x = 15,118.71

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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.