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Finding the Fourth Proportional to 14,196.78, 21,295.17 and 6,407.82

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Solution

The fourth proportional to 14,196.78, 21,295.17 and 6,407.82 is: 9,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.78 : 21,295.17 = 6,407.82 : x
  2. Step 2: Convert to fraction form
    14,196.78/21,295.17 = 6,407.82/x
  3. Step 3: Cross multiply
    14,196.78x = 21,295.17 × 6,407.82
  4. Step 4: Simplify right side
    14,196.78x = 136,455,616.23
  5. Step 5: Solve for x
    x = 136,455,616.23/14,196.78
  6. Step 6: Final answer
    x = 9,611.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.