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Finding the Fourth Proportional to 12,656.57, 18,982.20 and 5,810.70

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Solution

The fourth proportional to 12,656.57, 18,982.20 and 5,810.70 is: 8,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.57 : 18,982.20 = 5,810.70 : x
  2. Step 2: Convert to fraction form
    12,656.57/18,982.20 = 5,810.70/x
  3. Step 3: Cross multiply
    12,656.57x = 18,982.20 × 5,810.70
  4. Step 4: Simplify right side
    12,656.57x = 110,299,869.54
  5. Step 5: Solve for x
    x = 110,299,869.54/12,656.57
  6. Step 6: Final answer
    x = 8,714.83

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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.