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Finding the Fourth Proportional to 21,967, 30,314.44 and 11,895.44

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Solution

The fourth proportional to 21,967, 30,314.44 and 11,895.44 is: 16,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967 : 30,314.44 = 11,895.44 : x
  2. Step 2: Convert to fraction form
    21,967/30,314.44 = 11,895.44/x
  3. Step 3: Cross multiply
    21,967x = 30,314.44 × 11,895.44
  4. Step 4: Simplify right side
    21,967x = 360,603,602.15
  5. Step 5: Solve for x
    x = 360,603,602.15/21,967
  6. Step 6: Final answer
    x = 16,415.70

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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.