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Finding the Fourth Proportional to 8,687.90, 11,986.07 and 5,705.39

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Solution

The fourth proportional to 8,687.90, 11,986.07 and 5,705.39 is: 7,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,687.90 : 11,986.07 = 5,705.39 : x
  2. Step 2: Convert to fraction form
    8,687.90/11,986.07 = 5,705.39/x
  3. Step 3: Cross multiply
    8,687.90x = 11,986.07 × 5,705.39
  4. Step 4: Simplify right side
    8,687.90x = 68,385,175.39
  5. Step 5: Solve for x
    x = 68,385,175.39/8,687.90
  6. Step 6: Final answer
    x = 7,871.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.