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Finding the Fourth Proportional to 12,363.70, 18,520.35 and 7,669.30

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Solution

The fourth proportional to 12,363.70, 18,520.35 and 7,669.30 is: 11,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363.70 : 18,520.35 = 7,669.30 : x
  2. Step 2: Convert to fraction form
    12,363.70/18,520.35 = 7,669.30/x
  3. Step 3: Cross multiply
    12,363.70x = 18,520.35 × 7,669.30
  4. Step 4: Simplify right side
    12,363.70x = 142,038,120.26
  5. Step 5: Solve for x
    x = 142,038,120.26/12,363.70
  6. Step 6: Final answer
    x = 11,488.32

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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.