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Finding the Fourth Proportional to 5,107.58, 7,661.39 and 1,597.61

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Solution

The fourth proportional to 5,107.58, 7,661.39 and 1,597.61 is: 2,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.58 : 7,661.39 = 1,597.61 : x
  2. Step 2: Convert to fraction form
    5,107.58/7,661.39 = 1,597.61/x
  3. Step 3: Cross multiply
    5,107.58x = 7,661.39 × 1,597.61
  4. Step 4: Simplify right side
    5,107.58x = 12,239,913.67
  5. Step 5: Solve for x
    x = 12,239,913.67/5,107.58
  6. Step 6: Final answer
    x = 2,396.42

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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.