Home / 1,427.54-2,140.68-734.60

Finding the Fourth Proportional to 1,427.54, 2,140.68 and 734.60

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Solution

The fourth proportional to 1,427.54, 2,140.68 and 734.60 is: 1,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.54 : 2,140.68 = 734.60 : x
  2. Step 2: Convert to fraction form
    1,427.54/2,140.68 = 734.60/x
  3. Step 3: Cross multiply
    1,427.54x = 2,140.68 × 734.60
  4. Step 4: Simplify right side
    1,427.54x = 1,572,543.53
  5. Step 5: Solve for x
    x = 1,572,543.53/1,427.54
  6. Step 6: Final answer
    x = 1,101.58

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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.