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Finding the Fourth Proportional to 6,307, 8,703.66 and 3,654.56

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Solution

The fourth proportional to 6,307, 8,703.66 and 3,654.56 is: 5,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307 : 8,703.66 = 3,654.56 : x
  2. Step 2: Convert to fraction form
    6,307/8,703.66 = 3,654.56/x
  3. Step 3: Cross multiply
    6,307x = 8,703.66 × 3,654.56
  4. Step 4: Simplify right side
    6,307x = 31,808,047.69
  5. Step 5: Solve for x
    x = 31,808,047.69/6,307
  6. Step 6: Final answer
    x = 5,043.29

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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.