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Finding the Fourth Proportional to 6,389.34, 9,583.38 and 2,006.68

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Solution

The fourth proportional to 6,389.34, 9,583.38 and 2,006.68 is: 3,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.34 : 9,583.38 = 2,006.68 : x
  2. Step 2: Convert to fraction form
    6,389.34/9,583.38 = 2,006.68/x
  3. Step 3: Cross multiply
    6,389.34x = 9,583.38 × 2,006.68
  4. Step 4: Simplify right side
    6,389.34x = 19,230,776.98
  5. Step 5: Solve for x
    x = 19,230,776.98/6,389.34
  6. Step 6: Final answer
    x = 3,009.82

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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.