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Finding the Fourth Proportional to 6,258.69, 9,387.69 and 1,578.64

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Solution

The fourth proportional to 6,258.69, 9,387.69 and 1,578.64 is: 2,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258.69 : 9,387.69 = 1,578.64 : x
  2. Step 2: Convert to fraction form
    6,258.69/9,387.69 = 1,578.64/x
  3. Step 3: Cross multiply
    6,258.69x = 9,387.69 × 1,578.64
  4. Step 4: Simplify right side
    6,258.69x = 14,819,782.94
  5. Step 5: Solve for x
    x = 14,819,782.94/6,258.69
  6. Step 6: Final answer
    x = 2,367.87

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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.