Home / 1,962.52-2,942.34-1,095.64

Finding the Fourth Proportional to 1,962.52, 2,942.34 and 1,095.64

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Solution

The fourth proportional to 1,962.52, 2,942.34 and 1,095.64 is: 1,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.52 : 2,942.34 = 1,095.64 : x
  2. Step 2: Convert to fraction form
    1,962.52/2,942.34 = 1,095.64/x
  3. Step 3: Cross multiply
    1,962.52x = 2,942.34 × 1,095.64
  4. Step 4: Simplify right side
    1,962.52x = 3,223,745.40
  5. Step 5: Solve for x
    x = 3,223,745.40/1,962.52
  6. Step 6: Final answer
    x = 1,642.66

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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.