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Finding the Fourth Proportional to 21,693.78, 32,554.02 and 10,007.88

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Solution

The fourth proportional to 21,693.78, 32,554.02 and 10,007.88 is: 15,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.78 : 32,554.02 = 10,007.88 : x
  2. Step 2: Convert to fraction form
    21,693.78/32,554.02 = 10,007.88/x
  3. Step 3: Cross multiply
    21,693.78x = 32,554.02 × 10,007.88
  4. Step 4: Simplify right side
    21,693.78x = 325,796,725.68
  5. Step 5: Solve for x
    x = 325,796,725.68/21,693.78
  6. Step 6: Final answer
    x = 15,017.98

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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.