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Finding the Fourth Proportional to 21,891.65, 32,842.28 and 7,102.07

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Solution

The fourth proportional to 21,891.65, 32,842.28 and 7,102.07 is: 10,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.65 : 32,842.28 = 7,102.07 : x
  2. Step 2: Convert to fraction form
    21,891.65/32,842.28 = 7,102.07/x
  3. Step 3: Cross multiply
    21,891.65x = 32,842.28 × 7,102.07
  4. Step 4: Simplify right side
    21,891.65x = 233,248,025.06
  5. Step 5: Solve for x
    x = 233,248,025.06/21,891.65
  6. Step 6: Final answer
    x = 10,654.66

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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.