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Finding the Fourth Proportional to 21,768, 32,652.36 and 9,456

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Solution

The fourth proportional to 21,768, 32,652.36 and 9,456 is: 14,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,768 : 32,652.36 = 9,456 : x
  2. Step 2: Convert to fraction form
    21,768/32,652.36 = 9,456/x
  3. Step 3: Cross multiply
    21,768x = 32,652.36 × 9,456
  4. Step 4: Simplify right side
    21,768x = 308,760,716.16
  5. Step 5: Solve for x
    x = 308,760,716.16/21,768
  6. Step 6: Final answer
    x = 14,184.16

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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.