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Finding the Fourth Proportional to 6,389.68, 9,584.52 and 2,007.52

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Solution

The fourth proportional to 6,389.68, 9,584.52 and 2,007.52 is: 3,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.68 : 9,584.52 = 2,007.52 : x
  2. Step 2: Convert to fraction form
    6,389.68/9,584.52 = 2,007.52/x
  3. Step 3: Cross multiply
    6,389.68x = 9,584.52 × 2,007.52
  4. Step 4: Simplify right side
    6,389.68x = 19,241,115.59
  5. Step 5: Solve for x
    x = 19,241,115.59/6,389.68
  6. Step 6: Final answer
    x = 3,011.28

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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.