Home / 2,084.49-3,126.63-697.98

Finding the Fourth Proportional to 2,084.49, 3,126.63 and 697.98

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Solution

The fourth proportional to 2,084.49, 3,126.63 and 697.98 is: 1,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.49 : 3,126.63 = 697.98 : x
  2. Step 2: Convert to fraction form
    2,084.49/3,126.63 = 697.98/x
  3. Step 3: Cross multiply
    2,084.49x = 3,126.63 × 697.98
  4. Step 4: Simplify right side
    2,084.49x = 2,182,325.21
  5. Step 5: Solve for x
    x = 2,182,325.21/2,084.49
  6. Step 6: Final answer
    x = 1,046.93

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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.