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Finding the Fourth Proportional to 8,578.05, 12,871.98 and 4,629.30

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Solution

The fourth proportional to 8,578.05, 12,871.98 and 4,629.30 is: 6,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,578.05 : 12,871.98 = 4,629.30 : x
  2. Step 2: Convert to fraction form
    8,578.05/12,871.98 = 4,629.30/x
  3. Step 3: Cross multiply
    8,578.05x = 12,871.98 × 4,629.30
  4. Step 4: Simplify right side
    8,578.05x = 59,588,257.01
  5. Step 5: Solve for x
    x = 59,588,257.01/8,578.05
  6. Step 6: Final answer
    x = 6,946.60

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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.