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Finding the Fourth Proportional to 15,817.86, 23,723.31 and 4,723.11

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Solution

The fourth proportional to 15,817.86, 23,723.31 and 4,723.11 is: 7,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.86 : 23,723.31 = 4,723.11 : x
  2. Step 2: Convert to fraction form
    15,817.86/23,723.31 = 4,723.11/x
  3. Step 3: Cross multiply
    15,817.86x = 23,723.31 × 4,723.11
  4. Step 4: Simplify right side
    15,817.86x = 112,047,820.41
  5. Step 5: Solve for x
    x = 112,047,820.41/15,817.86
  6. Step 6: Final answer
    x = 7,083.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.