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Finding the Fourth Proportional to 3,490.13, 5,235.20 and 893.09

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Solution

The fourth proportional to 3,490.13, 5,235.20 and 893.09 is: 1,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.13 : 5,235.20 = 893.09 : x
  2. Step 2: Convert to fraction form
    3,490.13/5,235.20 = 893.09/x
  3. Step 3: Cross multiply
    3,490.13x = 5,235.20 × 893.09
  4. Step 4: Simplify right side
    3,490.13x = 4,675,474.13
  5. Step 5: Solve for x
    x = 4,675,474.13/3,490.13
  6. Step 6: Final answer
    x = 1,339.63

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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.