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Finding the Fourth Proportional to 5,487.46, 8,231.98 and 1,788.77

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Solution

The fourth proportional to 5,487.46, 8,231.98 and 1,788.77 is: 2,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.46 : 8,231.98 = 1,788.77 : x
  2. Step 2: Convert to fraction form
    5,487.46/8,231.98 = 1,788.77/x
  3. Step 3: Cross multiply
    5,487.46x = 8,231.98 × 1,788.77
  4. Step 4: Simplify right side
    5,487.46x = 14,725,109.92
  5. Step 5: Solve for x
    x = 14,725,109.92/5,487.46
  6. Step 6: Final answer
    x = 2,683.41

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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.