Home / 1,631.57-2,441.24-971.03

Finding the Fourth Proportional to 1,631.57, 2,441.24 and 971.03

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Solution

The fourth proportional to 1,631.57, 2,441.24 and 971.03 is: 1,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.57 : 2,441.24 = 971.03 : x
  2. Step 2: Convert to fraction form
    1,631.57/2,441.24 = 971.03/x
  3. Step 3: Cross multiply
    1,631.57x = 2,441.24 × 971.03
  4. Step 4: Simplify right side
    1,631.57x = 2,370,500.22
  5. Step 5: Solve for x
    x = 2,370,500.22/1,631.57
  6. Step 6: Final answer
    x = 1,452.90

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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.