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Finding the Fourth Proportional to 10,916.35, 16,364.79 and 5,069.77

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Solution

The fourth proportional to 10,916.35, 16,364.79 and 5,069.77 is: 7,600.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.35 : 16,364.79 = 5,069.77 : x
  2. Step 2: Convert to fraction form
    10,916.35/16,364.79 = 5,069.77/x
  3. Step 3: Cross multiply
    10,916.35x = 16,364.79 × 5,069.77
  4. Step 4: Simplify right side
    10,916.35x = 82,965,639.57
  5. Step 5: Solve for x
    x = 82,965,639.57/10,916.35
  6. Step 6: Final answer
    x = 7,600.13

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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.