Home / 2,274.85-3,412.28-977.23

Finding the Fourth Proportional to 2,274.85, 3,412.28 and 977.23

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Solution

The fourth proportional to 2,274.85, 3,412.28 and 977.23 is: 1,465.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.85 : 3,412.28 = 977.23 : x
  2. Step 2: Convert to fraction form
    2,274.85/3,412.28 = 977.23/x
  3. Step 3: Cross multiply
    2,274.85x = 3,412.28 × 977.23
  4. Step 4: Simplify right side
    2,274.85x = 3,334,582.38
  5. Step 5: Solve for x
    x = 3,334,582.38/2,274.85
  6. Step 6: Final answer
    x = 1,465.85

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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.