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Finding the Fourth Proportional to 9,408.49, 12,983.78 and 6,424.25

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Solution

The fourth proportional to 9,408.49, 12,983.78 and 6,424.25 is: 8,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.49 : 12,983.78 = 6,424.25 : x
  2. Step 2: Convert to fraction form
    9,408.49/12,983.78 = 6,424.25/x
  3. Step 3: Cross multiply
    9,408.49x = 12,983.78 × 6,424.25
  4. Step 4: Simplify right side
    9,408.49x = 83,410,999.81
  5. Step 5: Solve for x
    x = 83,410,999.81/9,408.49
  6. Step 6: Final answer
    x = 8,865.51

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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.