Home / 1,427.03-2,140.95-906.20

Finding the Fourth Proportional to 1,427.03, 2,140.95 and 906.20

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Solution

The fourth proportional to 1,427.03, 2,140.95 and 906.20 is: 1,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.03 : 2,140.95 = 906.20 : x
  2. Step 2: Convert to fraction form
    1,427.03/2,140.95 = 906.20/x
  3. Step 3: Cross multiply
    1,427.03x = 2,140.95 × 906.20
  4. Step 4: Simplify right side
    1,427.03x = 1,940,128.89
  5. Step 5: Solve for x
    x = 1,940,128.89/1,427.03
  6. Step 6: Final answer
    x = 1,359.56

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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.