Home / 2,364.26-3,546.28-977.20

Finding the Fourth Proportional to 2,364.26, 3,546.28 and 977.20

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Solution

The fourth proportional to 2,364.26, 3,546.28 and 977.20 is: 1,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.26 : 3,546.28 = 977.20 : x
  2. Step 2: Convert to fraction form
    2,364.26/3,546.28 = 977.20/x
  3. Step 3: Cross multiply
    2,364.26x = 3,546.28 × 977.20
  4. Step 4: Simplify right side
    2,364.26x = 3,465,424.82
  5. Step 5: Solve for x
    x = 3,465,424.82/2,364.26
  6. Step 6: Final answer
    x = 1,465.75

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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.