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Finding the Fourth Proportional to 8,682.80, 13,009.80 and 8,164.40

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Solution

The fourth proportional to 8,682.80, 13,009.80 and 8,164.40 is: 12,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.80 : 13,009.80 = 8,164.40 : x
  2. Step 2: Convert to fraction form
    8,682.80/13,009.80 = 8,164.40/x
  3. Step 3: Cross multiply
    8,682.80x = 13,009.80 × 8,164.40
  4. Step 4: Simplify right side
    8,682.80x = 106,217,211.12
  5. Step 5: Solve for x
    x = 106,217,211.12/8,682.80
  6. Step 6: Final answer
    x = 12,233.06

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1.5x scale

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.