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Finding the Fourth Proportional to 6,383.80, 8,802.38 and 4,494.78

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Solution

The fourth proportional to 6,383.80, 8,802.38 and 4,494.78 is: 6,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.80 : 8,802.38 = 4,494.78 : x
  2. Step 2: Convert to fraction form
    6,383.80/8,802.38 = 4,494.78/x
  3. Step 3: Cross multiply
    6,383.80x = 8,802.38 × 4,494.78
  4. Step 4: Simplify right side
    6,383.80x = 39,564,714.52
  5. Step 5: Solve for x
    x = 39,564,714.52/6,383.80
  6. Step 6: Final answer
    x = 6,197.68

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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.