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Finding the Fourth Proportional to 14,378.94, 19,845.27 and 12,020.22

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Solution

The fourth proportional to 14,378.94, 19,845.27 and 12,020.22 is: 16,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.94 : 19,845.27 = 12,020.22 : x
  2. Step 2: Convert to fraction form
    14,378.94/19,845.27 = 12,020.22/x
  3. Step 3: Cross multiply
    14,378.94x = 19,845.27 × 12,020.22
  4. Step 4: Simplify right side
    14,378.94x = 238,544,511.36
  5. Step 5: Solve for x
    x = 238,544,511.36/14,378.94
  6. Step 6: Final answer
    x = 16,589.85

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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.