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Finding the Fourth Proportional to 18,493.84, 27,740.52 and 4,642.84

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Solution

The fourth proportional to 18,493.84, 27,740.52 and 4,642.84 is: 6,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.84 : 27,740.52 = 4,642.84 : x
  2. Step 2: Convert to fraction form
    18,493.84/27,740.52 = 4,642.84/x
  3. Step 3: Cross multiply
    18,493.84x = 27,740.52 × 4,642.84
  4. Step 4: Simplify right side
    18,493.84x = 128,794,795.88
  5. Step 5: Solve for x
    x = 128,794,795.88/18,493.84
  6. Step 6: Final answer
    x = 6,964.20

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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.