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Finding the Fourth Proportional to 21,926.14, 32,889.14 and 7,886.14

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Solution

The fourth proportional to 21,926.14, 32,889.14 and 7,886.14 is: 11,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.14 : 32,889.14 = 7,886.14 : x
  2. Step 2: Convert to fraction form
    21,926.14/32,889.14 = 7,886.14/x
  3. Step 3: Cross multiply
    21,926.14x = 32,889.14 × 7,886.14
  4. Step 4: Simplify right side
    21,926.14x = 259,368,323.09
  5. Step 5: Solve for x
    x = 259,368,323.09/21,926.14
  6. Step 6: Final answer
    x = 11,829.19

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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.