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Finding the Fourth Proportional to 8,421.82, 12,613.29 and 8,130.22

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Solution

The fourth proportional to 8,421.82, 12,613.29 and 8,130.22 is: 12,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.82 : 12,613.29 = 8,130.22 : x
  2. Step 2: Convert to fraction form
    8,421.82/12,613.29 = 8,130.22/x
  3. Step 3: Cross multiply
    8,421.82x = 12,613.29 × 8,130.22
  4. Step 4: Simplify right side
    8,421.82x = 102,548,822.62
  5. Step 5: Solve for x
    x = 102,548,822.62/8,421.82
  6. Step 6: Final answer
    x = 12,176.56

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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.