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Finding the Fourth Proportional to 8,575, 12,863.22 and 2,419

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Solution

The fourth proportional to 8,575, 12,863.22 and 2,419 is: 3,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575 : 12,863.22 = 2,419 : x
  2. Step 2: Convert to fraction form
    8,575/12,863.22 = 2,419/x
  3. Step 3: Cross multiply
    8,575x = 12,863.22 × 2,419
  4. Step 4: Simplify right side
    8,575x = 31,116,129.18
  5. Step 5: Solve for x
    x = 31,116,129.18/8,575
  6. Step 6: Final answer
    x = 3,628.70

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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.