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Finding the Fourth Proportional to 3,689.90, 5,092.22 and 2,011.40

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Solution

The fourth proportional to 3,689.90, 5,092.22 and 2,011.40 is: 2,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.90 : 5,092.22 = 2,011.40 : x
  2. Step 2: Convert to fraction form
    3,689.90/5,092.22 = 2,011.40/x
  3. Step 3: Cross multiply
    3,689.90x = 5,092.22 × 2,011.40
  4. Step 4: Simplify right side
    3,689.90x = 10,242,491.31
  5. Step 5: Solve for x
    x = 10,242,491.31/3,689.90
  6. Step 6: Final answer
    x = 2,775.82

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1.5x scale

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.