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Finding the Fourth Proportional to 8,390.62, 12,568.65 and 4,919.50

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Solution

The fourth proportional to 8,390.62, 12,568.65 and 4,919.50 is: 7,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,390.62 : 12,568.65 = 4,919.50 : x
  2. Step 2: Convert to fraction form
    8,390.62/12,568.65 = 4,919.50/x
  3. Step 3: Cross multiply
    8,390.62x = 12,568.65 × 4,919.50
  4. Step 4: Simplify right side
    8,390.62x = 61,831,473.68
  5. Step 5: Solve for x
    x = 61,831,473.68/8,390.62
  6. Step 6: Final answer
    x = 7,369.12

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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.