Home / 2,102.42-2,901.68-1,604.12

Finding the Fourth Proportional to 2,102.42, 2,901.68 and 1,604.12

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Solution

The fourth proportional to 2,102.42, 2,901.68 and 1,604.12 is: 2,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.42 : 2,901.68 = 1,604.12 : x
  2. Step 2: Convert to fraction form
    2,102.42/2,901.68 = 1,604.12/x
  3. Step 3: Cross multiply
    2,102.42x = 2,901.68 × 1,604.12
  4. Step 4: Simplify right side
    2,102.42x = 4,654,626.41
  5. Step 5: Solve for x
    x = 4,654,626.41/2,102.42
  6. Step 6: Final answer
    x = 2,213.93

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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.