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Finding the Fourth Proportional to 21,810.84, 32,721.94 and 6,229.68

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Solution

The fourth proportional to 21,810.84, 32,721.94 and 6,229.68 is: 9,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.84 : 32,721.94 = 6,229.68 : x
  2. Step 2: Convert to fraction form
    21,810.84/32,721.94 = 6,229.68/x
  3. Step 3: Cross multiply
    21,810.84x = 32,721.94 × 6,229.68
  4. Step 4: Simplify right side
    21,810.84x = 203,847,215.18
  5. Step 5: Solve for x
    x = 203,847,215.18/21,810.84
  6. Step 6: Final answer
    x = 9,346.14

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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.