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Finding the Fourth Proportional to 8,686, 13,031.16 and 2,530

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Solution

The fourth proportional to 8,686, 13,031.16 and 2,530 is: 3,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 13,031.16 = 2,530 : x
  2. Step 2: Convert to fraction form
    8,686/13,031.16 = 2,530/x
  3. Step 3: Cross multiply
    8,686x = 13,031.16 × 2,530
  4. Step 4: Simplify right side
    8,686x = 32,968,834.80
  5. Step 5: Solve for x
    x = 32,968,834.80/8,686
  6. Step 6: Final answer
    x = 3,795.63

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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.