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Finding the Fourth Proportional to 8,506.78, 12,764.49 and 4,402.78

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Solution

The fourth proportional to 8,506.78, 12,764.49 and 4,402.78 is: 6,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.78 : 12,764.49 = 4,402.78 : x
  2. Step 2: Convert to fraction form
    8,506.78/12,764.49 = 4,402.78/x
  3. Step 3: Cross multiply
    8,506.78x = 12,764.49 × 4,402.78
  4. Step 4: Simplify right side
    8,506.78x = 56,199,241.28
  5. Step 5: Solve for x
    x = 56,199,241.28/8,506.78
  6. Step 6: Final answer
    x = 6,606.41

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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.