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Finding the Fourth Proportional to 8,840.50, 12,200.49 and 5,114.50

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Solution

The fourth proportional to 8,840.50, 12,200.49 and 5,114.50 is: 7,058.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,840.50 : 12,200.49 = 5,114.50 : x
  2. Step 2: Convert to fraction form
    8,840.50/12,200.49 = 5,114.50/x
  3. Step 3: Cross multiply
    8,840.50x = 12,200.49 × 5,114.50
  4. Step 4: Simplify right side
    8,840.50x = 62,399,406.11
  5. Step 5: Solve for x
    x = 62,399,406.11/8,840.50
  6. Step 6: Final answer
    x = 7,058.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.