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Finding the Fourth Proportional to 38,511.94, 53,145.50 and 21,516.31

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Solution

The fourth proportional to 38,511.94, 53,145.50 and 21,516.31 is: 29,691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,511.94 : 53,145.50 = 21,516.31 : x
  2. Step 2: Convert to fraction form
    38,511.94/53,145.50 = 21,516.31/x
  3. Step 3: Cross multiply
    38,511.94x = 53,145.50 × 21,516.31
  4. Step 4: Simplify right side
    38,511.94x = 1,143,495,162.64
  5. Step 5: Solve for x
    x = 1,143,495,162.64/38,511.94
  6. Step 6: Final answer
    x = 29,691.96

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