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Finding the Fourth Proportional to 3,670.90, 5,506.38 and 897.55

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Solution

The fourth proportional to 3,670.90, 5,506.38 and 897.55 is: 1,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.90 : 5,506.38 = 897.55 : x
  2. Step 2: Convert to fraction form
    3,670.90/5,506.38 = 897.55/x
  3. Step 3: Cross multiply
    3,670.90x = 5,506.38 × 897.55
  4. Step 4: Simplify right side
    3,670.90x = 4,942,251.37
  5. Step 5: Solve for x
    x = 4,942,251.37/3,670.90
  6. Step 6: Final answer
    x = 1,346.33

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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.