Home / 2,288.20-3,431.60-971.92

Finding the Fourth Proportional to 2,288.20, 3,431.60 and 971.92

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Solution

The fourth proportional to 2,288.20, 3,431.60 and 971.92 is: 1,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.20 : 3,431.60 = 971.92 : x
  2. Step 2: Convert to fraction form
    2,288.20/3,431.60 = 971.92/x
  3. Step 3: Cross multiply
    2,288.20x = 3,431.60 × 971.92
  4. Step 4: Simplify right side
    2,288.20x = 3,335,240.67
  5. Step 5: Solve for x
    x = 3,335,240.67/2,288.20
  6. Step 6: Final answer
    x = 1,457.58

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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.