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Finding the Fourth Proportional to 21,808.58, 32,714.86 and 7,013.84

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Solution

The fourth proportional to 21,808.58, 32,714.86 and 7,013.84 is: 10,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.58 : 32,714.86 = 7,013.84 : x
  2. Step 2: Convert to fraction form
    21,808.58/32,714.86 = 7,013.84/x
  3. Step 3: Cross multiply
    21,808.58x = 32,714.86 × 7,013.84
  4. Step 4: Simplify right side
    21,808.58x = 229,456,793.66
  5. Step 5: Solve for x
    x = 229,456,793.66/21,808.58
  6. Step 6: Final answer
    x = 10,521.40

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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.