Home / 1,426.77-2,140.31-386.78

Finding the Fourth Proportional to 1,426.77, 2,140.31 and 386.78

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Solution

The fourth proportional to 1,426.77, 2,140.31 and 386.78 is: 580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.77 : 2,140.31 = 386.78 : x
  2. Step 2: Convert to fraction form
    1,426.77/2,140.31 = 386.78/x
  3. Step 3: Cross multiply
    1,426.77x = 2,140.31 × 386.78
  4. Step 4: Simplify right side
    1,426.77x = 827,829.10
  5. Step 5: Solve for x
    x = 827,829.10/1,426.77
  6. Step 6: Final answer
    x = 580.21

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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.