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Finding the Fourth Proportional to 15,814.96, 21,823.50 and 8,741.50

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Solution

The fourth proportional to 15,814.96, 21,823.50 and 8,741.50 is: 12,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.96 : 21,823.50 = 8,741.50 : x
  2. Step 2: Convert to fraction form
    15,814.96/21,823.50 = 8,741.50/x
  3. Step 3: Cross multiply
    15,814.96x = 21,823.50 × 8,741.50
  4. Step 4: Simplify right side
    15,814.96x = 190,770,125.25
  5. Step 5: Solve for x
    x = 190,770,125.25/15,814.96
  6. Step 6: Final answer
    x = 12,062.64

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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.