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Finding the Fourth Proportional to 21,992.70, 32,989.05 and 21,215.10

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Solution

The fourth proportional to 21,992.70, 32,989.05 and 21,215.10 is: 31,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992.70 : 32,989.05 = 21,215.10 : x
  2. Step 2: Convert to fraction form
    21,992.70/32,989.05 = 21,215.10/x
  3. Step 3: Cross multiply
    21,992.70x = 32,989.05 × 21,215.10
  4. Step 4: Simplify right side
    21,992.70x = 699,865,994.66
  5. Step 5: Solve for x
    x = 699,865,994.66/21,992.70
  6. Step 6: Final answer
    x = 31,822.65

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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.