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Finding the Fourth Proportional to 10,813.10, 14,922.07 and 6,097.38

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Solution

The fourth proportional to 10,813.10, 14,922.07 and 6,097.38 is: 8,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.10 : 14,922.07 = 6,097.38 : x
  2. Step 2: Convert to fraction form
    10,813.10/14,922.07 = 6,097.38/x
  3. Step 3: Cross multiply
    10,813.10x = 14,922.07 × 6,097.38
  4. Step 4: Simplify right side
    10,813.10x = 90,985,516.74
  5. Step 5: Solve for x
    x = 90,985,516.74/10,813.10
  6. Step 6: Final answer
    x = 8,414.38

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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.