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Finding the Fourth Proportional to 2,161.05, 2,982.13 and 1,276.94

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Solution

The fourth proportional to 2,161.05, 2,982.13 and 1,276.94 is: 1,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.05 : 2,982.13 = 1,276.94 : x
  2. Step 2: Convert to fraction form
    2,161.05/2,982.13 = 1,276.94/x
  3. Step 3: Cross multiply
    2,161.05x = 2,982.13 × 1,276.94
  4. Step 4: Simplify right side
    2,161.05x = 3,807,982.98
  5. Step 5: Solve for x
    x = 3,807,982.98/2,161.05
  6. Step 6: Final answer
    x = 1,762.10

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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.