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Finding the Fourth Proportional to 8,394, 12,582.78 and 3,467.07

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Solution

The fourth proportional to 8,394, 12,582.78 and 3,467.07 is: 5,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394 : 12,582.78 = 3,467.07 : x
  2. Step 2: Convert to fraction form
    8,394/12,582.78 = 3,467.07/x
  3. Step 3: Cross multiply
    8,394x = 12,582.78 × 3,467.07
  4. Step 4: Simplify right side
    8,394x = 43,625,379.05
  5. Step 5: Solve for x
    x = 43,625,379.05/8,394
  6. Step 6: Final answer
    x = 5,197.21

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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.