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Finding the Fourth Proportional to 9,408.81, 12,978.51 and 6,222.18

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Solution

The fourth proportional to 9,408.81, 12,978.51 and 6,222.18 is: 8,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.81 : 12,978.51 = 6,222.18 : x
  2. Step 2: Convert to fraction form
    9,408.81/12,978.51 = 6,222.18/x
  3. Step 3: Cross multiply
    9,408.81x = 12,978.51 × 6,222.18
  4. Step 4: Simplify right side
    9,408.81x = 80,754,625.35
  5. Step 5: Solve for x
    x = 80,754,625.35/9,408.81
  6. Step 6: Final answer
    x = 8,582.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.