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Finding the Fourth Proportional to 12,220.40, 16,865.52 and 8,442.40

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Solution

The fourth proportional to 12,220.40, 16,865.52 and 8,442.40 is: 11,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.40 : 16,865.52 = 8,442.40 : x
  2. Step 2: Convert to fraction form
    12,220.40/16,865.52 = 8,442.40/x
  3. Step 3: Cross multiply
    12,220.40x = 16,865.52 × 8,442.40
  4. Step 4: Simplify right side
    12,220.40x = 142,385,466.05
  5. Step 5: Solve for x
    x = 142,385,466.05/12,220.40
  6. Step 6: Final answer
    x = 11,651.46

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1.5x scale

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.