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Finding the Fourth Proportional to 8,460.96, 11,671.14 and 5,311.68

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Solution

The fourth proportional to 8,460.96, 11,671.14 and 5,311.68 is: 7,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460.96 : 11,671.14 = 5,311.68 : x
  2. Step 2: Convert to fraction form
    8,460.96/11,671.14 = 5,311.68/x
  3. Step 3: Cross multiply
    8,460.96x = 11,671.14 × 5,311.68
  4. Step 4: Simplify right side
    8,460.96x = 61,993,360.92
  5. Step 5: Solve for x
    x = 61,993,360.92/8,460.96
  6. Step 6: Final answer
    x = 7,326.99

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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.