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Finding the Fourth Proportional to 8,686.13, 13,029.19 and 2,530.13

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Solution

The fourth proportional to 8,686.13, 13,029.19 and 2,530.13 is: 3,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.13 : 13,029.19 = 2,530.13 : x
  2. Step 2: Convert to fraction form
    8,686.13/13,029.19 = 2,530.13/x
  3. Step 3: Cross multiply
    8,686.13x = 13,029.19 × 2,530.13
  4. Step 4: Simplify right side
    8,686.13x = 32,965,473.02
  5. Step 5: Solve for x
    x = 32,965,473.02/8,686.13
  6. Step 6: Final answer
    x = 3,795.19

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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.