Home / 2,084.08-3,127.26-697.84

Finding the Fourth Proportional to 2,084.08, 3,127.26 and 697.84

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Solution

The fourth proportional to 2,084.08, 3,127.26 and 697.84 is: 1,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.08 : 3,127.26 = 697.84 : x
  2. Step 2: Convert to fraction form
    2,084.08/3,127.26 = 697.84/x
  3. Step 3: Cross multiply
    2,084.08x = 3,127.26 × 697.84
  4. Step 4: Simplify right side
    2,084.08x = 2,182,327.12
  5. Step 5: Solve for x
    x = 2,182,327.12/2,084.08
  6. Step 6: Final answer
    x = 1,047.14

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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.