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Finding the Fourth Proportional to 21,815.30, 32,702.11 and 7,013.81

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Solution

The fourth proportional to 21,815.30, 32,702.11 and 7,013.81 is: 10,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,815.30 : 32,702.11 = 7,013.81 : x
  2. Step 2: Convert to fraction form
    21,815.30/32,702.11 = 7,013.81/x
  3. Step 3: Cross multiply
    21,815.30x = 32,702.11 × 7,013.81
  4. Step 4: Simplify right side
    21,815.30x = 229,366,450.36
  5. Step 5: Solve for x
    x = 229,366,450.36/21,815.30
  6. Step 6: Final answer
    x = 10,514.02

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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.