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Finding the Fourth Proportional to 3,509.92, 5,238.02 and 3,135.53

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Solution

The fourth proportional to 3,509.92, 5,238.02 and 3,135.53 is: 4,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.92 : 5,238.02 = 3,135.53 : x
  2. Step 2: Convert to fraction form
    3,509.92/5,238.02 = 3,135.53/x
  3. Step 3: Cross multiply
    3,509.92x = 5,238.02 × 3,135.53
  4. Step 4: Simplify right side
    3,509.92x = 16,423,950.38
  5. Step 5: Solve for x
    x = 16,423,950.38/3,509.92
  6. Step 6: Final answer
    x = 4,679.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.