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Finding the Fourth Proportional to 19,824.25, 27,354.95 and 10,869.40

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Solution

The fourth proportional to 19,824.25, 27,354.95 and 10,869.40 is: 14,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.25 : 27,354.95 = 10,869.40 : x
  2. Step 2: Convert to fraction form
    19,824.25/27,354.95 = 10,869.40/x
  3. Step 3: Cross multiply
    19,824.25x = 27,354.95 × 10,869.40
  4. Step 4: Simplify right side
    19,824.25x = 297,331,893.53
  5. Step 5: Solve for x
    x = 297,331,893.53/19,824.25
  6. Step 6: Final answer
    x = 14,998.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.