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Finding the Fourth Proportional to 2,102.40, 2,900.22 and 1,633.38

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Solution

The fourth proportional to 2,102.40, 2,900.22 and 1,633.38 is: 2,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.40 : 2,900.22 = 1,633.38 : x
  2. Step 2: Convert to fraction form
    2,102.40/2,900.22 = 1,633.38/x
  3. Step 3: Cross multiply
    2,102.40x = 2,900.22 × 1,633.38
  4. Step 4: Simplify right side
    2,102.40x = 4,737,161.34
  5. Step 5: Solve for x
    x = 4,737,161.34/2,102.40
  6. Step 6: Final answer
    x = 2,253.22

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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.