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Finding the Fourth Proportional to 13,884.75, 19,160.96 and 8,916.75

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Solution

The fourth proportional to 13,884.75, 19,160.96 and 8,916.75 is: 12,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.75 : 19,160.96 = 8,916.75 : x
  2. Step 2: Convert to fraction form
    13,884.75/19,160.96 = 8,916.75/x
  3. Step 3: Cross multiply
    13,884.75x = 19,160.96 × 8,916.75
  4. Step 4: Simplify right side
    13,884.75x = 170,853,445.50
  5. Step 5: Solve for x
    x = 170,853,445.50/13,884.75
  6. Step 6: Final answer
    x = 12,305.12

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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.