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Finding the Fourth Proportional to 8,605.78, 12,914.13 and 3,675.45

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Solution

The fourth proportional to 8,605.78, 12,914.13 and 3,675.45 is: 5,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.78 : 12,914.13 = 3,675.45 : x
  2. Step 2: Convert to fraction form
    8,605.78/12,914.13 = 3,675.45/x
  3. Step 3: Cross multiply
    8,605.78x = 12,914.13 × 3,675.45
  4. Step 4: Simplify right side
    8,605.78x = 47,465,239.11
  5. Step 5: Solve for x
    x = 47,465,239.11/8,605.78
  6. Step 6: Final answer
    x = 5,515.51

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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.