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Finding the Fourth Proportional to 10,874.60, 16,315.80 and 6,709.76

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Solution

The fourth proportional to 10,874.60, 16,315.80 and 6,709.76 is: 10,067.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.60 : 16,315.80 = 6,709.76 : x
  2. Step 2: Convert to fraction form
    10,874.60/16,315.80 = 6,709.76/x
  3. Step 3: Cross multiply
    10,874.60x = 16,315.80 × 6,709.76
  4. Step 4: Simplify right side
    10,874.60x = 109,475,102.21
  5. Step 5: Solve for x
    x = 109,475,102.21/10,874.60
  6. Step 6: Final answer
    x = 10,067.05

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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.