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Finding the Fourth Proportional to 15,896.51, 21,932.11 and 9,181.25

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Solution

The fourth proportional to 15,896.51, 21,932.11 and 9,181.25 is: 12,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.51 : 21,932.11 = 9,181.25 : x
  2. Step 2: Convert to fraction form
    15,896.51/21,932.11 = 9,181.25/x
  3. Step 3: Cross multiply
    15,896.51x = 21,932.11 × 9,181.25
  4. Step 4: Simplify right side
    15,896.51x = 201,364,184.94
  5. Step 5: Solve for x
    x = 201,364,184.94/15,896.51
  6. Step 6: Final answer
    x = 12,667.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.