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Finding the Fourth Proportional to 8,578.42, 12,867.49 and 3,384.34

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Solution

The fourth proportional to 8,578.42, 12,867.49 and 3,384.34 is: 5,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.42 : 12,867.49 = 3,384.34 : x
  2. Step 2: Convert to fraction form
    8,578.42/12,867.49 = 3,384.34/x
  3. Step 3: Cross multiply
    8,578.42x = 12,867.49 × 3,384.34
  4. Step 4: Simplify right side
    8,578.42x = 43,547,961.11
  5. Step 5: Solve for x
    x = 43,547,961.11/8,578.42
  6. Step 6: Final answer
    x = 5,076.45

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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.