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Finding the Fourth Proportional to 8,581, 12,873.66 and 2,425

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Solution

The fourth proportional to 8,581, 12,873.66 and 2,425 is: 3,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,581 : 12,873.66 = 2,425 : x
  2. Step 2: Convert to fraction form
    8,581/12,873.66 = 2,425/x
  3. Step 3: Cross multiply
    8,581x = 12,873.66 × 2,425
  4. Step 4: Simplify right side
    8,581x = 31,218,625.50
  5. Step 5: Solve for x
    x = 31,218,625.50/8,581
  6. Step 6: Final answer
    x = 3,638.11

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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.