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Finding the Fourth Proportional to 11,884.50, 16,400.61 and 6,916.50

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Solution

The fourth proportional to 11,884.50, 16,400.61 and 6,916.50 is: 9,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.50 : 16,400.61 = 6,916.50 : x
  2. Step 2: Convert to fraction form
    11,884.50/16,400.61 = 6,916.50/x
  3. Step 3: Cross multiply
    11,884.50x = 16,400.61 × 6,916.50
  4. Step 4: Simplify right side
    11,884.50x = 113,434,819.07
  5. Step 5: Solve for x
    x = 113,434,819.07/11,884.50
  6. Step 6: Final answer
    x = 9,544.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.