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Finding the Fourth Proportional to 8,313.15, 12,421.02 and 8,022.47

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Solution

The fourth proportional to 8,313.15, 12,421.02 and 8,022.47 is: 11,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.15 : 12,421.02 = 8,022.47 : x
  2. Step 2: Convert to fraction form
    8,313.15/12,421.02 = 8,022.47/x
  3. Step 3: Cross multiply
    8,313.15x = 12,421.02 × 8,022.47
  4. Step 4: Simplify right side
    8,313.15x = 99,647,228.30
  5. Step 5: Solve for x
    x = 99,647,228.30/8,313.15
  6. Step 6: Final answer
    x = 11,986.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.