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Finding the Fourth Proportional to 12,219.34, 18,329.02 and 8,029.06

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Solution

The fourth proportional to 12,219.34, 18,329.02 and 8,029.06 is: 12,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.34 : 18,329.02 = 8,029.06 : x
  2. Step 2: Convert to fraction form
    12,219.34/18,329.02 = 8,029.06/x
  3. Step 3: Cross multiply
    12,219.34x = 18,329.02 × 8,029.06
  4. Step 4: Simplify right side
    12,219.34x = 147,164,801.32
  5. Step 5: Solve for x
    x = 147,164,801.32/12,219.34
  6. Step 6: Final answer
    x = 12,043.60

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1.5x scale

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.