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Finding the Fourth Proportional to 15,496, 21,384.96 and 8,872

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Solution

The fourth proportional to 15,496, 21,384.96 and 8,872 is: 12,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 21,384.96 = 8,872 : x
  2. Step 2: Convert to fraction form
    15,496/21,384.96 = 8,872/x
  3. Step 3: Cross multiply
    15,496x = 21,384.96 × 8,872
  4. Step 4: Simplify right side
    15,496x = 189,727,365.12
  5. Step 5: Solve for x
    x = 189,727,365.12/15,496
  6. Step 6: Final answer
    x = 12,243.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.