Home / 2,102.68-3,152.94-1,007.56

Finding the Fourth Proportional to 2,102.68, 3,152.94 and 1,007.56

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Solution

The fourth proportional to 2,102.68, 3,152.94 and 1,007.56 is: 1,510.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.68 : 3,152.94 = 1,007.56 : x
  2. Step 2: Convert to fraction form
    2,102.68/3,152.94 = 1,007.56/x
  3. Step 3: Cross multiply
    2,102.68x = 3,152.94 × 1,007.56
  4. Step 4: Simplify right side
    2,102.68x = 3,176,776.23
  5. Step 5: Solve for x
    x = 3,176,776.23/2,102.68
  6. Step 6: Final answer
    x = 1,510.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.