Home / 2,127.84-3,194.72-1,402.08

Finding the Fourth Proportional to 2,127.84, 3,194.72 and 1,402.08

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Solution

The fourth proportional to 2,127.84, 3,194.72 and 1,402.08 is: 2,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.84 : 3,194.72 = 1,402.08 : x
  2. Step 2: Convert to fraction form
    2,127.84/3,194.72 = 1,402.08/x
  3. Step 3: Cross multiply
    2,127.84x = 3,194.72 × 1,402.08
  4. Step 4: Simplify right side
    2,127.84x = 4,479,253.02
  5. Step 5: Solve for x
    x = 4,479,253.02/2,127.84
  6. Step 6: Final answer
    x = 2,105.07

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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.