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Finding the Fourth Proportional to 15,893.20, 21,935.49 and 9,177.90

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Solution

The fourth proportional to 15,893.20, 21,935.49 and 9,177.90 is: 12,667.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,893.20 : 21,935.49 = 9,177.90 : x
  2. Step 2: Convert to fraction form
    15,893.20/21,935.49 = 9,177.90/x
  3. Step 3: Cross multiply
    15,893.20x = 21,935.49 × 9,177.90
  4. Step 4: Simplify right side
    15,893.20x = 201,321,733.67
  5. Step 5: Solve for x
    x = 201,321,733.67/15,893.20
  6. Step 6: Final answer
    x = 12,667.16

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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.