Home / 1,616.80-2,427.64-1,291.20

Finding the Fourth Proportional to 1,616.80, 2,427.64 and 1,291.20

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Solution

The fourth proportional to 1,616.80, 2,427.64 and 1,291.20 is: 1,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.80 : 2,427.64 = 1,291.20 : x
  2. Step 2: Convert to fraction form
    1,616.80/2,427.64 = 1,291.20/x
  3. Step 3: Cross multiply
    1,616.80x = 2,427.64 × 1,291.20
  4. Step 4: Simplify right side
    1,616.80x = 3,134,568.77
  5. Step 5: Solve for x
    x = 3,134,568.77/1,616.80
  6. Step 6: Final answer
    x = 1,938.75

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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.