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Finding the Fourth Proportional to 27,457, 41,185.86 and 8,989

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Solution

The fourth proportional to 27,457, 41,185.86 and 8,989 is: 13,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,457 : 41,185.86 = 8,989 : x
  2. Step 2: Convert to fraction form
    27,457/41,185.86 = 8,989/x
  3. Step 3: Cross multiply
    27,457x = 41,185.86 × 8,989
  4. Step 4: Simplify right side
    27,457x = 370,219,695.54
  5. Step 5: Solve for x
    x = 370,219,695.54/27,457
  6. Step 6: Final answer
    x = 13,483.62

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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.