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Finding the Fourth Proportional to 10,911.64, 16,371.51 and 5,713.87

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Solution

The fourth proportional to 10,911.64, 16,371.51 and 5,713.87 is: 8,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.64 : 16,371.51 = 5,713.87 : x
  2. Step 2: Convert to fraction form
    10,911.64/16,371.51 = 5,713.87/x
  3. Step 3: Cross multiply
    10,911.64x = 16,371.51 × 5,713.87
  4. Step 4: Simplify right side
    10,911.64x = 93,544,679.84
  5. Step 5: Solve for x
    x = 93,544,679.84/10,911.64
  6. Step 6: Final answer
    x = 8,572.93

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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.