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Finding the Fourth Proportional to 21,936.30, 32,907.15 and 7,894.14

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Solution

The fourth proportional to 21,936.30, 32,907.15 and 7,894.14 is: 11,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936.30 : 32,907.15 = 7,894.14 : x
  2. Step 2: Convert to fraction form
    21,936.30/32,907.15 = 7,894.14/x
  3. Step 3: Cross multiply
    21,936.30x = 32,907.15 × 7,894.14
  4. Step 4: Simplify right side
    21,936.30x = 259,773,649.10
  5. Step 5: Solve for x
    x = 259,773,649.10/21,936.30
  6. Step 6: Final answer
    x = 11,842.18

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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.