Home / 1,420.08-2,129.07-761.97

Finding the Fourth Proportional to 1,420.08, 2,129.07 and 761.97

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Solution

The fourth proportional to 1,420.08, 2,129.07 and 761.97 is: 1,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.08 : 2,129.07 = 761.97 : x
  2. Step 2: Convert to fraction form
    1,420.08/2,129.07 = 761.97/x
  3. Step 3: Cross multiply
    1,420.08x = 2,129.07 × 761.97
  4. Step 4: Simplify right side
    1,420.08x = 1,622,287.47
  5. Step 5: Solve for x
    x = 1,622,287.47/1,420.08
  6. Step 6: Final answer
    x = 1,142.39

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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.