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Finding the Fourth Proportional to 15,742.15, 23,605.83 and 5,878.78

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Solution

The fourth proportional to 15,742.15, 23,605.83 and 5,878.78 is: 8,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.15 : 23,605.83 = 5,878.78 : x
  2. Step 2: Convert to fraction form
    15,742.15/23,605.83 = 5,878.78/x
  3. Step 3: Cross multiply
    15,742.15x = 23,605.83 × 5,878.78
  4. Step 4: Simplify right side
    15,742.15x = 138,773,422.27
  5. Step 5: Solve for x
    x = 138,773,422.27/15,742.15
  6. Step 6: Final answer
    x = 8,815.41

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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.