Home / 1,420.74-1,961.28-1,001.43

Finding the Fourth Proportional to 1,420.74, 1,961.28 and 1,001.43

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Solution

The fourth proportional to 1,420.74, 1,961.28 and 1,001.43 is: 1,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.74 : 1,961.28 = 1,001.43 : x
  2. Step 2: Convert to fraction form
    1,420.74/1,961.28 = 1,001.43/x
  3. Step 3: Cross multiply
    1,420.74x = 1,961.28 × 1,001.43
  4. Step 4: Simplify right side
    1,420.74x = 1,964,084.63
  5. Step 5: Solve for x
    x = 1,964,084.63/1,420.74
  6. Step 6: Final answer
    x = 1,382.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.