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Finding the Fourth Proportional to 2,197, 3,031.86 and 2,011.11

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Solution

The fourth proportional to 2,197, 3,031.86 and 2,011.11 is: 2,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197 : 3,031.86 = 2,011.11 : x
  2. Step 2: Convert to fraction form
    2,197/3,031.86 = 2,011.11/x
  3. Step 3: Cross multiply
    2,197x = 3,031.86 × 2,011.11
  4. Step 4: Simplify right side
    2,197x = 6,097,403.96
  5. Step 5: Solve for x
    x = 6,097,403.96/2,197
  6. Step 6: Final answer
    x = 2,775.33

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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.