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Finding the Fourth Proportional to 6,473, 8,930.72 and 3,639.93

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Solution

The fourth proportional to 6,473, 8,930.72 and 3,639.93 is: 5,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473 : 8,930.72 = 3,639.93 : x
  2. Step 2: Convert to fraction form
    6,473/8,930.72 = 3,639.93/x
  3. Step 3: Cross multiply
    6,473x = 8,930.72 × 3,639.93
  4. Step 4: Simplify right side
    6,473x = 32,507,195.65
  5. Step 5: Solve for x
    x = 32,507,195.65/6,473
  6. Step 6: Final answer
    x = 5,021.97

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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.