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Finding the Fourth Proportional to 14,107, 21,158.06 and 6,611.32

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Solution

The fourth proportional to 14,107, 21,158.06 and 6,611.32 is: 9,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107 : 21,158.06 = 6,611.32 : x
  2. Step 2: Convert to fraction form
    14,107/21,158.06 = 6,611.32/x
  3. Step 3: Cross multiply
    14,107x = 21,158.06 × 6,611.32
  4. Step 4: Simplify right side
    14,107x = 139,882,705.24
  5. Step 5: Solve for x
    x = 139,882,705.24/14,107
  6. Step 6: Final answer
    x = 9,915.84

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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.