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Finding the Fourth Proportional to 15,814.86, 21,823.70 and 8,739.92

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Solution

The fourth proportional to 15,814.86, 21,823.70 and 8,739.92 is: 12,060.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.86 : 21,823.70 = 8,739.92 : x
  2. Step 2: Convert to fraction form
    15,814.86/21,823.70 = 8,739.92/x
  3. Step 3: Cross multiply
    15,814.86x = 21,823.70 × 8,739.92
  4. Step 4: Simplify right side
    15,814.86x = 190,737,239.29
  5. Step 5: Solve for x
    x = 190,737,239.29/15,814.86
  6. Step 6: Final answer
    x = 12,060.63

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