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Finding the Fourth Proportional to 3,762.64, 5,192.34 and 2,271.88

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Solution

The fourth proportional to 3,762.64, 5,192.34 and 2,271.88 is: 3,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.64 : 5,192.34 = 2,271.88 : x
  2. Step 2: Convert to fraction form
    3,762.64/5,192.34 = 2,271.88/x
  3. Step 3: Cross multiply
    3,762.64x = 5,192.34 × 2,271.88
  4. Step 4: Simplify right side
    3,762.64x = 11,796,373.40
  5. Step 5: Solve for x
    x = 11,796,373.40/3,762.64
  6. Step 6: Final answer
    x = 3,135.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.