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Finding the Fourth Proportional to 8,684.68, 13,012.60 and 7,812.04

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Solution

The fourth proportional to 8,684.68, 13,012.60 and 7,812.04 is: 11,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.68 : 13,012.60 = 7,812.04 : x
  2. Step 2: Convert to fraction form
    8,684.68/13,012.60 = 7,812.04/x
  3. Step 3: Cross multiply
    8,684.68x = 13,012.60 × 7,812.04
  4. Step 4: Simplify right side
    8,684.68x = 101,654,951.70
  5. Step 5: Solve for x
    x = 101,654,951.70/8,684.68
  6. Step 6: Final answer
    x = 11,705.09

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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.