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Finding the Fourth Proportional to 8,408, 11,583.72 and 6,638.96

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Solution

The fourth proportional to 8,408, 11,583.72 and 6,638.96 is: 9,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408 : 11,583.72 = 6,638.96 : x
  2. Step 2: Convert to fraction form
    8,408/11,583.72 = 6,638.96/x
  3. Step 3: Cross multiply
    8,408x = 11,583.72 × 6,638.96
  4. Step 4: Simplify right side
    8,408x = 76,903,853.73
  5. Step 5: Solve for x
    x = 76,903,853.73/8,408
  6. Step 6: Final answer
    x = 9,146.51

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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.