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Finding the Fourth Proportional to 6,389.52, 9,583.68 and 2,006.64

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Solution

The fourth proportional to 6,389.52, 9,583.68 and 2,006.64 is: 3,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.52 : 9,583.68 = 2,006.64 : x
  2. Step 2: Convert to fraction form
    6,389.52/9,583.68 = 2,006.64/x
  3. Step 3: Cross multiply
    6,389.52x = 9,583.68 × 2,006.64
  4. Step 4: Simplify right side
    6,389.52x = 19,230,995.64
  5. Step 5: Solve for x
    x = 19,230,995.64/6,389.52
  6. Step 6: Final answer
    x = 3,009.77

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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.