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Finding the Fourth Proportional to 3,658.56, 5,490.24 and 3,415.56

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Solution

The fourth proportional to 3,658.56, 5,490.24 and 3,415.56 is: 5,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.56 : 5,490.24 = 3,415.56 : x
  2. Step 2: Convert to fraction form
    3,658.56/5,490.24 = 3,415.56/x
  3. Step 3: Cross multiply
    3,658.56x = 5,490.24 × 3,415.56
  4. Step 4: Simplify right side
    3,658.56x = 18,752,244.13
  5. Step 5: Solve for x
    x = 18,752,244.13/3,658.56
  6. Step 6: Final answer
    x = 5,125.58

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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.