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Finding the Fourth Proportional to 12,223.16, 18,334.74 and 4,429.40

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Solution

The fourth proportional to 12,223.16, 18,334.74 and 4,429.40 is: 6,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.16 : 18,334.74 = 4,429.40 : x
  2. Step 2: Convert to fraction form
    12,223.16/18,334.74 = 4,429.40/x
  3. Step 3: Cross multiply
    12,223.16x = 18,334.74 × 4,429.40
  4. Step 4: Simplify right side
    12,223.16x = 81,211,897.36
  5. Step 5: Solve for x
    x = 81,211,897.36/12,223.16
  6. Step 6: Final answer
    x = 6,644.10

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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.