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Finding the Fourth Proportional to 13,755.84, 18,984 and 8,380.32

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Solution

The fourth proportional to 13,755.84, 18,984 and 8,380.32 is: 11,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.84 : 18,984 = 8,380.32 : x
  2. Step 2: Convert to fraction form
    13,755.84/18,984 = 8,380.32/x
  3. Step 3: Cross multiply
    13,755.84x = 18,984 × 8,380.32
  4. Step 4: Simplify right side
    13,755.84x = 159,091,994.88
  5. Step 5: Solve for x
    x = 159,091,994.88/13,755.84
  6. Step 6: Final answer
    x = 11,565.41

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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.