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Finding the Fourth Proportional to 5,785.66, 8,690.25 and 5,107.69

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Solution

The fourth proportional to 5,785.66, 8,690.25 and 5,107.69 is: 7,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.66 : 8,690.25 = 5,107.69 : x
  2. Step 2: Convert to fraction form
    5,785.66/8,690.25 = 5,107.69/x
  3. Step 3: Cross multiply
    5,785.66x = 8,690.25 × 5,107.69
  4. Step 4: Simplify right side
    5,785.66x = 44,387,103.02
  5. Step 5: Solve for x
    x = 44,387,103.02/5,785.66
  6. Step 6: Final answer
    x = 7,671.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.