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Finding the Fourth Proportional to 6,578.60, 9,866.62 and 1,898.28

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Solution

The fourth proportional to 6,578.60, 9,866.62 and 1,898.28 is: 2,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.60 : 9,866.62 = 1,898.28 : x
  2. Step 2: Convert to fraction form
    6,578.60/9,866.62 = 1,898.28/x
  3. Step 3: Cross multiply
    6,578.60x = 9,866.62 × 1,898.28
  4. Step 4: Simplify right side
    6,578.60x = 18,729,607.41
  5. Step 5: Solve for x
    x = 18,729,607.41/6,578.60
  6. Step 6: Final answer
    x = 2,847.05

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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.