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Finding the Fourth Proportional to 22,080, 33,120.72 and 9,768

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Solution

The fourth proportional to 22,080, 33,120.72 and 9,768 is: 14,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,080 : 33,120.72 = 9,768 : x
  2. Step 2: Convert to fraction form
    22,080/33,120.72 = 9,768/x
  3. Step 3: Cross multiply
    22,080x = 33,120.72 × 9,768
  4. Step 4: Simplify right side
    22,080x = 323,523,192.96
  5. Step 5: Solve for x
    x = 323,523,192.96/22,080
  6. Step 6: Final answer
    x = 14,652.32

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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.