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Finding the Fourth Proportional to 8,486.96, 12,730.45 and 2,643.57

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Solution

The fourth proportional to 8,486.96, 12,730.45 and 2,643.57 is: 3,965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.96 : 12,730.45 = 2,643.57 : x
  2. Step 2: Convert to fraction form
    8,486.96/12,730.45 = 2,643.57/x
  3. Step 3: Cross multiply
    8,486.96x = 12,730.45 × 2,643.57
  4. Step 4: Simplify right side
    8,486.96x = 33,653,898.91
  5. Step 5: Solve for x
    x = 33,653,898.91/8,486.96
  6. Step 6: Final answer
    x = 3,965.36

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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.