Home / 1,420.56-1,961.34-1,159.20

Finding the Fourth Proportional to 1,420.56, 1,961.34 and 1,159.20

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Solution

The fourth proportional to 1,420.56, 1,961.34 and 1,159.20 is: 1,600.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.56 : 1,961.34 = 1,159.20 : x
  2. Step 2: Convert to fraction form
    1,420.56/1,961.34 = 1,159.20/x
  3. Step 3: Cross multiply
    1,420.56x = 1,961.34 × 1,159.20
  4. Step 4: Simplify right side
    1,420.56x = 2,273,585.33
  5. Step 5: Solve for x
    x = 2,273,585.33/1,420.56
  6. Step 6: Final answer
    x = 1,600.49

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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.