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Finding the Fourth Proportional to 3,665.84, 5,498.77 and 892.51

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Solution

The fourth proportional to 3,665.84, 5,498.77 and 892.51 is: 1,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.84 : 5,498.77 = 892.51 : x
  2. Step 2: Convert to fraction form
    3,665.84/5,498.77 = 892.51/x
  3. Step 3: Cross multiply
    3,665.84x = 5,498.77 × 892.51
  4. Step 4: Simplify right side
    3,665.84x = 4,907,707.21
  5. Step 5: Solve for x
    x = 4,907,707.21/3,665.84
  6. Step 6: Final answer
    x = 1,338.77

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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.