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Finding the Fourth Proportional to 11,698.16, 16,144.70 and 6,919.70

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Solution

The fourth proportional to 11,698.16, 16,144.70 and 6,919.70 is: 9,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.16 : 16,144.70 = 6,919.70 : x
  2. Step 2: Convert to fraction form
    11,698.16/16,144.70 = 6,919.70/x
  3. Step 3: Cross multiply
    11,698.16x = 16,144.70 × 6,919.70
  4. Step 4: Simplify right side
    11,698.16x = 111,716,365.27
  5. Step 5: Solve for x
    x = 111,716,365.27/11,698.16
  6. Step 6: Final answer
    x = 9,549.91

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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.