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Finding the Fourth Proportional to 8,406.42, 12,618.42 and 8,218.20

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Solution

The fourth proportional to 8,406.42, 12,618.42 and 8,218.20 is: 12,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.42 : 12,618.42 = 8,218.20 : x
  2. Step 2: Convert to fraction form
    8,406.42/12,618.42 = 8,218.20/x
  3. Step 3: Cross multiply
    8,406.42x = 12,618.42 × 8,218.20
  4. Step 4: Simplify right side
    8,406.42x = 103,700,699.24
  5. Step 5: Solve for x
    x = 103,700,699.24/8,406.42
  6. Step 6: Final answer
    x = 12,335.89

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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.