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Finding the Fourth Proportional to 6,405, 9,608.31 and 1,788

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Solution

The fourth proportional to 6,405, 9,608.31 and 1,788 is: 2,682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 9,608.31 = 1,788 : x
  2. Step 2: Convert to fraction form
    6,405/9,608.31 = 1,788/x
  3. Step 3: Cross multiply
    6,405x = 9,608.31 × 1,788
  4. Step 4: Simplify right side
    6,405x = 17,179,658.28
  5. Step 5: Solve for x
    x = 17,179,658.28/6,405
  6. Step 6: Final answer
    x = 2,682.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.