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Finding the Fourth Proportional to 27,657, 41,485.50 and 9,189

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Solution

The fourth proportional to 27,657, 41,485.50 and 9,189 is: 13,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657 : 41,485.50 = 9,189 : x
  2. Step 2: Convert to fraction form
    27,657/41,485.50 = 9,189/x
  3. Step 3: Cross multiply
    27,657x = 41,485.50 × 9,189
  4. Step 4: Simplify right side
    27,657x = 381,210,259.50
  5. Step 5: Solve for x
    x = 381,210,259.50/27,657
  6. Step 6: Final answer
    x = 13,783.50

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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.