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Finding the Fourth Proportional to 17,811, 24,578.91 and 12,715.92

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Solution

The fourth proportional to 17,811, 24,578.91 and 12,715.92 is: 17,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,811 : 24,578.91 = 12,715.92 : x
  2. Step 2: Convert to fraction form
    17,811/24,578.91 = 12,715.92/x
  3. Step 3: Cross multiply
    17,811x = 24,578.91 × 12,715.92
  4. Step 4: Simplify right side
    17,811x = 312,543,453.25
  5. Step 5: Solve for x
    x = 312,543,453.25/17,811
  6. Step 6: Final answer
    x = 17,547.78

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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.