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Finding the Fourth Proportional to 4,498.80, 6,782.82 and 4,418.16

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Solution

The fourth proportional to 4,498.80, 6,782.82 and 4,418.16 is: 6,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498.80 : 6,782.82 = 4,418.16 : x
  2. Step 2: Convert to fraction form
    4,498.80/6,782.82 = 4,418.16/x
  3. Step 3: Cross multiply
    4,498.80x = 6,782.82 × 4,418.16
  4. Step 4: Simplify right side
    4,498.80x = 29,967,584.01
  5. Step 5: Solve for x
    x = 29,967,584.01/4,498.80
  6. Step 6: Final answer
    x = 6,661.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.