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Finding the Fourth Proportional to 3,866.16, 5,784.66 and 2,223.48

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Solution

The fourth proportional to 3,866.16, 5,784.66 and 2,223.48 is: 3,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.16 : 5,784.66 = 2,223.48 : x
  2. Step 2: Convert to fraction form
    3,866.16/5,784.66 = 2,223.48/x
  3. Step 3: Cross multiply
    3,866.16x = 5,784.66 × 2,223.48
  4. Step 4: Simplify right side
    3,866.16x = 12,862,075.82
  5. Step 5: Solve for x
    x = 12,862,075.82/3,866.16
  6. Step 6: Final answer
    x = 3,326.83

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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.