Home / 1,705.20-2,551.98-1,431.60

Finding the Fourth Proportional to 1,705.20, 2,551.98 and 1,431.60

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Solution

The fourth proportional to 1,705.20, 2,551.98 and 1,431.60 is: 2,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.20 : 2,551.98 = 1,431.60 : x
  2. Step 2: Convert to fraction form
    1,705.20/2,551.98 = 1,431.60/x
  3. Step 3: Cross multiply
    1,705.20x = 2,551.98 × 1,431.60
  4. Step 4: Simplify right side
    1,705.20x = 3,653,414.57
  5. Step 5: Solve for x
    x = 3,653,414.57/1,705.20
  6. Step 6: Final answer
    x = 2,142.51

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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.