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Finding the Fourth Proportional to 21,018.65, 31,521.80 and 7,867.94

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Solution

The fourth proportional to 21,018.65, 31,521.80 and 7,867.94 is: 11,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,018.65 : 31,521.80 = 7,867.94 : x
  2. Step 2: Convert to fraction form
    21,018.65/31,521.80 = 7,867.94/x
  3. Step 3: Cross multiply
    21,018.65x = 31,521.80 × 7,867.94
  4. Step 4: Simplify right side
    21,018.65x = 248,011,493.15
  5. Step 5: Solve for x
    x = 248,011,493.15/21,018.65
  6. Step 6: Final answer
    x = 11,799.59

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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.