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Finding the Fourth Proportional to 3,493.75, 5,240.63 and 896.70

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Solution

The fourth proportional to 3,493.75, 5,240.63 and 896.70 is: 1,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.75 : 5,240.63 = 896.70 : x
  2. Step 2: Convert to fraction form
    3,493.75/5,240.63 = 896.70/x
  3. Step 3: Cross multiply
    3,493.75x = 5,240.63 × 896.70
  4. Step 4: Simplify right side
    3,493.75x = 4,699,272.92
  5. Step 5: Solve for x
    x = 4,699,272.92/3,493.75
  6. Step 6: Final answer
    x = 1,345.05

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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.