Home / 2,286.57-3,430.84-971.21

Finding the Fourth Proportional to 2,286.57, 3,430.84 and 971.21

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Solution

The fourth proportional to 2,286.57, 3,430.84 and 971.21 is: 1,457.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.57 : 3,430.84 = 971.21 : x
  2. Step 2: Convert to fraction form
    2,286.57/3,430.84 = 971.21/x
  3. Step 3: Cross multiply
    2,286.57x = 3,430.84 × 971.21
  4. Step 4: Simplify right side
    2,286.57x = 3,332,075.44
  5. Step 5: Solve for x
    x = 3,332,075.44/2,286.57
  6. Step 6: Final answer
    x = 1,457.24

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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.