Home / 1,410.14-2,112.30-969.90

Finding the Fourth Proportional to 1,410.14, 2,112.30 and 969.90

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Solution

The fourth proportional to 1,410.14, 2,112.30 and 969.90 is: 1,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.14 : 2,112.30 = 969.90 : x
  2. Step 2: Convert to fraction form
    1,410.14/2,112.30 = 969.90/x
  3. Step 3: Cross multiply
    1,410.14x = 2,112.30 × 969.90
  4. Step 4: Simplify right side
    1,410.14x = 2,048,719.77
  5. Step 5: Solve for x
    x = 2,048,719.77/1,410.14
  6. Step 6: Final answer
    x = 1,452.85

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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.