Home / 1,902.64-2,851.52-977.44

Finding the Fourth Proportional to 1,902.64, 2,851.52 and 977.44

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Solution

The fourth proportional to 1,902.64, 2,851.52 and 977.44 is: 1,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902.64 : 2,851.52 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,902.64/2,851.52 = 977.44/x
  3. Step 3: Cross multiply
    1,902.64x = 2,851.52 × 977.44
  4. Step 4: Simplify right side
    1,902.64x = 2,787,189.71
  5. Step 5: Solve for x
    x = 2,787,189.71/1,902.64
  6. Step 6: Final answer
    x = 1,464.91

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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.