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Finding the Fourth Proportional to 6,349.74, 8,765.68 and 4,228.80

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Solution

The fourth proportional to 6,349.74, 8,765.68 and 4,228.80 is: 5,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.74 : 8,765.68 = 4,228.80 : x
  2. Step 2: Convert to fraction form
    6,349.74/8,765.68 = 4,228.80/x
  3. Step 3: Cross multiply
    6,349.74x = 8,765.68 × 4,228.80
  4. Step 4: Simplify right side
    6,349.74x = 37,068,307.58
  5. Step 5: Solve for x
    x = 37,068,307.58/6,349.74
  6. Step 6: Final answer
    x = 5,837.77

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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.