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Finding the Fourth Proportional to 8,578.21, 12,844.74 and 6,903.40

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Solution

The fourth proportional to 8,578.21, 12,844.74 and 6,903.40 is: 10,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.21 : 12,844.74 = 6,903.40 : x
  2. Step 2: Convert to fraction form
    8,578.21/12,844.74 = 6,903.40/x
  3. Step 3: Cross multiply
    8,578.21x = 12,844.74 × 6,903.40
  4. Step 4: Simplify right side
    8,578.21x = 88,672,378.12
  5. Step 5: Solve for x
    x = 88,672,378.12/8,578.21
  6. Step 6: Final answer
    x = 10,336.93

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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.