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Finding the Fourth Proportional to 2,164.15, 2,983.02 and 1,691.22

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Solution

The fourth proportional to 2,164.15, 2,983.02 and 1,691.22 is: 2,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.15 : 2,983.02 = 1,691.22 : x
  2. Step 2: Convert to fraction form
    2,164.15/2,983.02 = 1,691.22/x
  3. Step 3: Cross multiply
    2,164.15x = 2,983.02 × 1,691.22
  4. Step 4: Simplify right side
    2,164.15x = 5,044,943.08
  5. Step 5: Solve for x
    x = 5,044,943.08/2,164.15
  6. Step 6: Final answer
    x = 2,331.14

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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.