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Finding the Fourth Proportional to 8,705.34, 11,986.06 and 7,682.24

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Solution

The fourth proportional to 8,705.34, 11,986.06 and 7,682.24 is: 10,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.34 : 11,986.06 = 7,682.24 : x
  2. Step 2: Convert to fraction form
    8,705.34/11,986.06 = 7,682.24/x
  3. Step 3: Cross multiply
    8,705.34x = 11,986.06 × 7,682.24
  4. Step 4: Simplify right side
    8,705.34x = 92,079,691.23
  5. Step 5: Solve for x
    x = 92,079,691.23/8,705.34
  6. Step 6: Final answer
    x = 10,577.38

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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.