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Finding the Fourth Proportional to 21,697.47, 32,497.00 and 13,799.97

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Solution

The fourth proportional to 21,697.47, 32,497.00 and 13,799.97 is: 20,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.47 : 32,497.00 = 13,799.97 : x
  2. Step 2: Convert to fraction form
    21,697.47/32,497.00 = 13,799.97/x
  3. Step 3: Cross multiply
    21,697.47x = 32,497.00 × 13,799.97
  4. Step 4: Simplify right side
    21,697.47x = 448,457,590.59
  5. Step 5: Solve for x
    x = 448,457,590.59/21,697.47
  6. Step 6: Final answer
    x = 20,668.66

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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.