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Finding the Fourth Proportional to 4,723.75, 7,085.69 and 1,645.75

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Solution

The fourth proportional to 4,723.75, 7,085.69 and 1,645.75 is: 2,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.75 : 7,085.69 = 1,645.75 : x
  2. Step 2: Convert to fraction form
    4,723.75/7,085.69 = 1,645.75/x
  3. Step 3: Cross multiply
    4,723.75x = 7,085.69 × 1,645.75
  4. Step 4: Simplify right side
    4,723.75x = 11,661,274.32
  5. Step 5: Solve for x
    x = 11,661,274.32/4,723.75
  6. Step 6: Final answer
    x = 2,468.65

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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.