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Finding the Fourth Proportional to 21,894.82, 32,844.04 and 9,415.14

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Solution

The fourth proportional to 21,894.82, 32,844.04 and 9,415.14 is: 14,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.82 : 32,844.04 = 9,415.14 : x
  2. Step 2: Convert to fraction form
    21,894.82/32,844.04 = 9,415.14/x
  3. Step 3: Cross multiply
    21,894.82x = 32,844.04 × 9,415.14
  4. Step 4: Simplify right side
    21,894.82x = 309,231,234.77
  5. Step 5: Solve for x
    x = 309,231,234.77/21,894.82
  6. Step 6: Final answer
    x = 14,123.49

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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.