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Finding the Fourth Proportional to 3,665.58, 5,498.36 and 892.25

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Solution

The fourth proportional to 3,665.58, 5,498.36 and 892.25 is: 1,338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.58 : 5,498.36 = 892.25 : x
  2. Step 2: Convert to fraction form
    3,665.58/5,498.36 = 892.25/x
  3. Step 3: Cross multiply
    3,665.58x = 5,498.36 × 892.25
  4. Step 4: Simplify right side
    3,665.58x = 4,905,911.71
  5. Step 5: Solve for x
    x = 4,905,911.71/3,665.58
  6. Step 6: Final answer
    x = 1,338.37

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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.