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Finding the Fourth Proportional to 30,297, 45,441.88 and 8,112.12

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Solution

The fourth proportional to 30,297, 45,441.88 and 8,112.12 is: 12,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297 : 45,441.88 = 8,112.12 : x
  2. Step 2: Convert to fraction form
    30,297/45,441.88 = 8,112.12/x
  3. Step 3: Cross multiply
    30,297x = 45,441.88 × 8,112.12
  4. Step 4: Simplify right side
    30,297x = 368,629,983.59
  5. Step 5: Solve for x
    x = 368,629,983.59/30,297
  6. Step 6: Final answer
    x = 12,167.21

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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.