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Finding the Fourth Proportional to 8,580.10, 12,885.99 and 5,138.50

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Solution

The fourth proportional to 8,580.10, 12,885.99 and 5,138.50 is: 7,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.10 : 12,885.99 = 5,138.50 : x
  2. Step 2: Convert to fraction form
    8,580.10/12,885.99 = 5,138.50/x
  3. Step 3: Cross multiply
    8,580.10x = 12,885.99 × 5,138.50
  4. Step 4: Simplify right side
    8,580.10x = 66,214,659.62
  5. Step 5: Solve for x
    x = 66,214,659.62/8,580.10
  6. Step 6: Final answer
    x = 7,717.24

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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.