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Finding the Fourth Proportional to 3,762.63, 5,643.09 and 1,422.89

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Solution

The fourth proportional to 3,762.63, 5,643.09 and 1,422.89 is: 2,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.63 : 5,643.09 = 1,422.89 : x
  2. Step 2: Convert to fraction form
    3,762.63/5,643.09 = 1,422.89/x
  3. Step 3: Cross multiply
    3,762.63x = 5,643.09 × 1,422.89
  4. Step 4: Simplify right side
    3,762.63x = 8,029,468.11
  5. Step 5: Solve for x
    x = 8,029,468.11/3,762.63
  6. Step 6: Final answer
    x = 2,134.00

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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.