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Finding the Fourth Proportional to 21,771.84, 32,657.76 and 6,187.44

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Solution

The fourth proportional to 21,771.84, 32,657.76 and 6,187.44 is: 9,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.84 : 32,657.76 = 6,187.44 : x
  2. Step 2: Convert to fraction form
    21,771.84/32,657.76 = 6,187.44/x
  3. Step 3: Cross multiply
    21,771.84x = 32,657.76 × 6,187.44
  4. Step 4: Simplify right side
    21,771.84x = 202,067,930.53
  5. Step 5: Solve for x
    x = 202,067,930.53/21,771.84
  6. Step 6: Final answer
    x = 9,281.16

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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.