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Finding the Fourth Proportional to 8,462, 12,690.21 and 2,915.22

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Solution

The fourth proportional to 8,462, 12,690.21 and 2,915.22 is: 4,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462 : 12,690.21 = 2,915.22 : x
  2. Step 2: Convert to fraction form
    8,462/12,690.21 = 2,915.22/x
  3. Step 3: Cross multiply
    8,462x = 12,690.21 × 2,915.22
  4. Step 4: Simplify right side
    8,462x = 36,994,754.00
  5. Step 5: Solve for x
    x = 36,994,754.00/8,462
  6. Step 6: Final answer
    x = 4,371.87

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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.