Home / 2,288.40-3,431.89-972.14

Finding the Fourth Proportional to 2,288.40, 3,431.89 and 972.14

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Solution

The fourth proportional to 2,288.40, 3,431.89 and 972.14 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.40 : 3,431.89 = 972.14 : x
  2. Step 2: Convert to fraction form
    2,288.40/3,431.89 = 972.14/x
  3. Step 3: Cross multiply
    2,288.40x = 3,431.89 × 972.14
  4. Step 4: Simplify right side
    2,288.40x = 3,336,277.54
  5. Step 5: Solve for x
    x = 3,336,277.54/2,288.40
  6. Step 6: Final answer
    x = 1,457.91

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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.