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Finding the Fourth Proportional to 21,661.84, 32,486.14 and 9,181.63

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Solution

The fourth proportional to 21,661.84, 32,486.14 and 9,181.63 is: 13,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.84 : 32,486.14 = 9,181.63 : x
  2. Step 2: Convert to fraction form
    21,661.84/32,486.14 = 9,181.63/x
  3. Step 3: Cross multiply
    21,661.84x = 32,486.14 × 9,181.63
  4. Step 4: Simplify right side
    21,661.84x = 298,275,509.27
  5. Step 5: Solve for x
    x = 298,275,509.27/21,661.84
  6. Step 6: Final answer
    x = 13,769.63

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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.