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Finding the Fourth Proportional to 8,580.60, 12,846.60 and 7,705.80

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Solution

The fourth proportional to 8,580.60, 12,846.60 and 7,705.80 is: 11,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.60 : 12,846.60 = 7,705.80 : x
  2. Step 2: Convert to fraction form
    8,580.60/12,846.60 = 7,705.80/x
  3. Step 3: Cross multiply
    8,580.60x = 12,846.60 × 7,705.80
  4. Step 4: Simplify right side
    8,580.60x = 98,993,330.28
  5. Step 5: Solve for x
    x = 98,993,330.28/8,580.60
  6. Step 6: Final answer
    x = 11,536.88

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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.