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Finding the Fourth Proportional to 21,939.30, 32,911.65 and 7,897.14

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Solution

The fourth proportional to 21,939.30, 32,911.65 and 7,897.14 is: 11,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,939.30 : 32,911.65 = 7,897.14 : x
  2. Step 2: Convert to fraction form
    21,939.30/32,911.65 = 7,897.14/x
  3. Step 3: Cross multiply
    21,939.30x = 32,911.65 × 7,897.14
  4. Step 4: Simplify right side
    21,939.30x = 259,907,907.68
  5. Step 5: Solve for x
    x = 259,907,907.68/21,939.30
  6. Step 6: Final answer
    x = 11,846.68

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1.5x scale

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.