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Finding the Fourth Proportional to 9,195, 12,690.26 and 5,469

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Solution

The fourth proportional to 9,195, 12,690.26 and 5,469 is: 7,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195 : 12,690.26 = 5,469 : x
  2. Step 2: Convert to fraction form
    9,195/12,690.26 = 5,469/x
  3. Step 3: Cross multiply
    9,195x = 12,690.26 × 5,469
  4. Step 4: Simplify right side
    9,195x = 69,403,004.60
  5. Step 5: Solve for x
    x = 69,403,004.60/9,195
  6. Step 6: Final answer
    x = 7,547.91

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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.