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Finding the Fourth Proportional to 8,315.22, 12,443.64 and 6,454.47

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Solution

The fourth proportional to 8,315.22, 12,443.64 and 6,454.47 is: 9,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.22 : 12,443.64 = 6,454.47 : x
  2. Step 2: Convert to fraction form
    8,315.22/12,443.64 = 6,454.47/x
  3. Step 3: Cross multiply
    8,315.22x = 12,443.64 × 6,454.47
  4. Step 4: Simplify right side
    8,315.22x = 80,317,101.07
  5. Step 5: Solve for x
    x = 80,317,101.07/8,315.22
  6. Step 6: Final answer
    x = 9,659.05

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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.