Home / 3,883.08-5,827-1,542.66

Finding the Fourth Proportional to 3,883.08, 5,827 and 1,542.66

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Solution

The fourth proportional to 3,883.08, 5,827 and 1,542.66 is: 2,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.08 : 5,827 = 1,542.66 : x
  2. Step 2: Convert to fraction form
    3,883.08/5,827 = 1,542.66/x
  3. Step 3: Cross multiply
    3,883.08x = 5,827 × 1,542.66
  4. Step 4: Simplify right side
    3,883.08x = 8,989,079.82
  5. Step 5: Solve for x
    x = 8,989,079.82/3,883.08
  6. Step 6: Final answer
    x = 2,314.94

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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.