Home / 4,542.32-6,815.40-1,946.48

Finding the Fourth Proportional to 4,542.32, 6,815.40 and 1,946.48

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Solution

The fourth proportional to 4,542.32, 6,815.40 and 1,946.48 is: 2,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.32 : 6,815.40 = 1,946.48 : x
  2. Step 2: Convert to fraction form
    4,542.32/6,815.40 = 1,946.48/x
  3. Step 3: Cross multiply
    4,542.32x = 6,815.40 × 1,946.48
  4. Step 4: Simplify right side
    4,542.32x = 13,266,039.79
  5. Step 5: Solve for x
    x = 13,266,039.79/4,542.32
  6. Step 6: Final answer
    x = 2,920.54

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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.