Home / 2,138.06-3,204.63-981.38

Finding the Fourth Proportional to 2,138.06, 3,204.63 and 981.38

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Solution

The fourth proportional to 2,138.06, 3,204.63 and 981.38 is: 1,470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.06 : 3,204.63 = 981.38 : x
  2. Step 2: Convert to fraction form
    2,138.06/3,204.63 = 981.38/x
  3. Step 3: Cross multiply
    2,138.06x = 3,204.63 × 981.38
  4. Step 4: Simplify right side
    2,138.06x = 3,144,943.77
  5. Step 5: Solve for x
    x = 3,144,943.77/2,138.06
  6. Step 6: Final answer
    x = 1,470.94

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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.