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Finding the Fourth Proportional to 15,842, 21,861.96 and 9,218

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Solution

The fourth proportional to 15,842, 21,861.96 and 9,218 is: 12,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842 : 21,861.96 = 9,218 : x
  2. Step 2: Convert to fraction form
    15,842/21,861.96 = 9,218/x
  3. Step 3: Cross multiply
    15,842x = 21,861.96 × 9,218
  4. Step 4: Simplify right side
    15,842x = 201,523,547.28
  5. Step 5: Solve for x
    x = 201,523,547.28/15,842
  6. Step 6: Final answer
    x = 12,720.84

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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.