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Finding the Fourth Proportional to 8,581.98, 12,873.09 and 3,650.40

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Solution

The fourth proportional to 8,581.98, 12,873.09 and 3,650.40 is: 5,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581.98 : 12,873.09 = 3,650.40 : x
  2. Step 2: Convert to fraction form
    8,581.98/12,873.09 = 3,650.40/x
  3. Step 3: Cross multiply
    8,581.98x = 12,873.09 × 3,650.40
  4. Step 4: Simplify right side
    8,581.98x = 46,991,927.74
  5. Step 5: Solve for x
    x = 46,991,927.74/8,581.98
  6. Step 6: Final answer
    x = 5,475.65

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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.