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Finding the Fourth Proportional to 21,994.31, 32,961.36 and 9,333.47

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Solution

The fourth proportional to 21,994.31, 32,961.36 and 9,333.47 is: 13,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,994.31 : 32,961.36 = 9,333.47 : x
  2. Step 2: Convert to fraction form
    21,994.31/32,961.36 = 9,333.47/x
  3. Step 3: Cross multiply
    21,994.31x = 32,961.36 × 9,333.47
  4. Step 4: Simplify right side
    21,994.31x = 307,643,864.72
  5. Step 5: Solve for x
    x = 307,643,864.72/21,994.31
  6. Step 6: Final answer
    x = 13,987.43

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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.