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Finding the Fourth Proportional to 4,878.75, 6,732.48 and 2,782.89

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Solution

The fourth proportional to 4,878.75, 6,732.48 and 2,782.89 is: 3,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.75 : 6,732.48 = 2,782.89 : x
  2. Step 2: Convert to fraction form
    4,878.75/6,732.48 = 2,782.89/x
  3. Step 3: Cross multiply
    4,878.75x = 6,732.48 × 2,782.89
  4. Step 4: Simplify right side
    4,878.75x = 18,735,751.27
  5. Step 5: Solve for x
    x = 18,735,751.27/4,878.75
  6. Step 6: Final answer
    x = 3,840.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.