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Finding the Fourth Proportional to 6,307.47, 8,705.07 and 3,789.99

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Solution

The fourth proportional to 6,307.47, 8,705.07 and 3,789.99 is: 5,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.47 : 8,705.07 = 3,789.99 : x
  2. Step 2: Convert to fraction form
    6,307.47/8,705.07 = 3,789.99/x
  3. Step 3: Cross multiply
    6,307.47x = 8,705.07 × 3,789.99
  4. Step 4: Simplify right side
    6,307.47x = 32,992,128.25
  5. Step 5: Solve for x
    x = 32,992,128.25/6,307.47
  6. Step 6: Final answer
    x = 5,230.64

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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.