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Finding the Fourth Proportional to 18,538.83, 27,810.68 and 9,774.09

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Solution

The fourth proportional to 18,538.83, 27,810.68 and 9,774.09 is: 14,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.83 : 27,810.68 = 9,774.09 : x
  2. Step 2: Convert to fraction form
    18,538.83/27,810.68 = 9,774.09/x
  3. Step 3: Cross multiply
    18,538.83x = 27,810.68 × 9,774.09
  4. Step 4: Simplify right side
    18,538.83x = 271,824,040.41
  5. Step 5: Solve for x
    x = 271,824,040.41/18,538.83
  6. Step 6: Final answer
    x = 14,662.42

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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.