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Finding the Fourth Proportional to 43,994, 66,002 and 12,829.25

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Solution

The fourth proportional to 43,994, 66,002 and 12,829.25 is: 19,247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,994 : 66,002 = 12,829.25 : x
  2. Step 2: Convert to fraction form
    43,994/66,002 = 12,829.25/x
  3. Step 3: Cross multiply
    43,994x = 66,002 × 12,829.25
  4. Step 4: Simplify right side
    43,994x = 846,756,158.50
  5. Step 5: Solve for x
    x = 846,756,158.50/43,994
  6. Step 6: Final answer
    x = 19,247.08

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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.