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Finding the Fourth Proportional to 8,569.80, 11,816.64 and 5,919.12

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Solution

The fourth proportional to 8,569.80, 11,816.64 and 5,919.12 is: 8,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.80 : 11,816.64 = 5,919.12 : x
  2. Step 2: Convert to fraction form
    8,569.80/11,816.64 = 5,919.12/x
  3. Step 3: Cross multiply
    8,569.80x = 11,816.64 × 5,919.12
  4. Step 4: Simplify right side
    8,569.80x = 69,944,110.16
  5. Step 5: Solve for x
    x = 69,944,110.16/8,569.80
  6. Step 6: Final answer
    x = 8,161.70

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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.