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Finding the Fourth Proportional to 13,643.94, 20,444.06 and 12,331.74

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Solution

The fourth proportional to 13,643.94, 20,444.06 and 12,331.74 is: 18,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.94 : 20,444.06 = 12,331.74 : x
  2. Step 2: Convert to fraction form
    13,643.94/20,444.06 = 12,331.74/x
  3. Step 3: Cross multiply
    13,643.94x = 20,444.06 × 12,331.74
  4. Step 4: Simplify right side
    13,643.94x = 252,110,770.81
  5. Step 5: Solve for x
    x = 252,110,770.81/13,643.94
  6. Step 6: Final answer
    x = 18,477.86

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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.