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Finding the Fourth Proportional to 8,611.84, 12,911.89 and 4,384.70

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Solution

The fourth proportional to 8,611.84, 12,911.89 and 4,384.70 is: 6,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.84 : 12,911.89 = 4,384.70 : x
  2. Step 2: Convert to fraction form
    8,611.84/12,911.89 = 4,384.70/x
  3. Step 3: Cross multiply
    8,611.84x = 12,911.89 × 4,384.70
  4. Step 4: Simplify right side
    8,611.84x = 56,614,745.20
  5. Step 5: Solve for x
    x = 56,614,745.20/8,611.84
  6. Step 6: Final answer
    x = 6,574.06

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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.