Home / 1,420.68-2,120.01-1,409.88

Finding the Fourth Proportional to 1,420.68, 2,120.01 and 1,409.88

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Solution

The fourth proportional to 1,420.68, 2,120.01 and 1,409.88 is: 2,103.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.68 : 2,120.01 = 1,409.88 : x
  2. Step 2: Convert to fraction form
    1,420.68/2,120.01 = 1,409.88/x
  3. Step 3: Cross multiply
    1,420.68x = 2,120.01 × 1,409.88
  4. Step 4: Simplify right side
    1,420.68x = 2,988,959.70
  5. Step 5: Solve for x
    x = 2,988,959.70/1,420.68
  6. Step 6: Final answer
    x = 2,103.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.