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Finding the Fourth Proportional to 8,390.99, 12,578.29 and 3,464.07

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Solution

The fourth proportional to 8,390.99, 12,578.29 and 3,464.07 is: 5,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.99 : 12,578.29 = 3,464.07 : x
  2. Step 2: Convert to fraction form
    8,390.99/12,578.29 = 3,464.07/x
  3. Step 3: Cross multiply
    8,390.99x = 12,578.29 × 3,464.07
  4. Step 4: Simplify right side
    8,390.99x = 43,572,021.21
  5. Step 5: Solve for x
    x = 43,572,021.21/8,390.99
  6. Step 6: Final answer
    x = 5,192.71

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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.