Home / 2,211.28-3,315.68-977.22

Finding the Fourth Proportional to 2,211.28, 3,315.68 and 977.22

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Solution

The fourth proportional to 2,211.28, 3,315.68 and 977.22 is: 1,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.28 : 3,315.68 = 977.22 : x
  2. Step 2: Convert to fraction form
    2,211.28/3,315.68 = 977.22/x
  3. Step 3: Cross multiply
    2,211.28x = 3,315.68 × 977.22
  4. Step 4: Simplify right side
    2,211.28x = 3,240,148.81
  5. Step 5: Solve for x
    x = 3,240,148.81/2,211.28
  6. Step 6: Final answer
    x = 1,465.28

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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.