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Finding the Fourth Proportional to 19,691.56, 29,467.95 and 12,299.50

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Solution

The fourth proportional to 19,691.56, 29,467.95 and 12,299.50 is: 18,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.56 : 29,467.95 = 12,299.50 : x
  2. Step 2: Convert to fraction form
    19,691.56/29,467.95 = 12,299.50/x
  3. Step 3: Cross multiply
    19,691.56x = 29,467.95 × 12,299.50
  4. Step 4: Simplify right side
    19,691.56x = 362,441,051.03
  5. Step 5: Solve for x
    x = 362,441,051.03/19,691.56
  6. Step 6: Final answer
    x = 18,405.91

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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.