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Finding the Fourth Proportional to 8,407.84, 12,611.72 and 2,564.43

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Solution

The fourth proportional to 8,407.84, 12,611.72 and 2,564.43 is: 3,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.84 : 12,611.72 = 2,564.43 : x
  2. Step 2: Convert to fraction form
    8,407.84/12,611.72 = 2,564.43/x
  3. Step 3: Cross multiply
    8,407.84x = 12,611.72 × 2,564.43
  4. Step 4: Simplify right side
    8,407.84x = 32,341,873.12
  5. Step 5: Solve for x
    x = 32,341,873.12/8,407.84
  6. Step 6: Final answer
    x = 3,846.63

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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.