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Finding the Fourth Proportional to 21,722.80, 32,587.02 and 6,140.82

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Solution

The fourth proportional to 21,722.80, 32,587.02 and 6,140.82 is: 9,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,722.80 : 32,587.02 = 6,140.82 : x
  2. Step 2: Convert to fraction form
    21,722.80/32,587.02 = 6,140.82/x
  3. Step 3: Cross multiply
    21,722.80x = 32,587.02 × 6,140.82
  4. Step 4: Simplify right side
    21,722.80x = 200,111,024.16
  5. Step 5: Solve for x
    x = 200,111,024.16/21,722.80
  6. Step 6: Final answer
    x = 9,212.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.