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Finding the Fourth Proportional to 3,453.79, 5,205 and 3,125.17

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Solution

The fourth proportional to 3,453.79, 5,205 and 3,125.17 is: 4,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.79 : 5,205 = 3,125.17 : x
  2. Step 2: Convert to fraction form
    3,453.79/5,205 = 3,125.17/x
  3. Step 3: Cross multiply
    3,453.79x = 5,205 × 3,125.17
  4. Step 4: Simplify right side
    3,453.79x = 16,266,509.85
  5. Step 5: Solve for x
    x = 16,266,509.85/3,453.79
  6. Step 6: Final answer
    x = 4,709.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.