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Finding the Fourth Proportional to 19,653, 29,474.64 and 12,253.66

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Solution

The fourth proportional to 19,653, 29,474.64 and 12,253.66 is: 18,377.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653 : 29,474.64 = 12,253.66 : x
  2. Step 2: Convert to fraction form
    19,653/29,474.64 = 12,253.66/x
  3. Step 3: Cross multiply
    19,653x = 29,474.64 × 12,253.66
  4. Step 4: Simplify right side
    19,653x = 361,172,217.18
  5. Step 5: Solve for x
    x = 361,172,217.18/19,653
  6. Step 6: Final answer
    x = 18,377.46

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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.