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Finding the Fourth Proportional to 3,651.70, 5,042.13 and 2,811.10

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Solution

The fourth proportional to 3,651.70, 5,042.13 and 2,811.10 is: 3,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.70 : 5,042.13 = 2,811.10 : x
  2. Step 2: Convert to fraction form
    3,651.70/5,042.13 = 2,811.10/x
  3. Step 3: Cross multiply
    3,651.70x = 5,042.13 × 2,811.10
  4. Step 4: Simplify right side
    3,651.70x = 14,173,931.64
  5. Step 5: Solve for x
    x = 14,173,931.64/3,651.70
  6. Step 6: Final answer
    x = 3,881.46

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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.