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Finding the Fourth Proportional to 27,158.78, 40,736.66 and 7,435.89

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Solution

The fourth proportional to 27,158.78, 40,736.66 and 7,435.89 is: 11,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158.78 : 40,736.66 = 7,435.89 : x
  2. Step 2: Convert to fraction form
    27,158.78/40,736.66 = 7,435.89/x
  3. Step 3: Cross multiply
    27,158.78x = 40,736.66 × 7,435.89
  4. Step 4: Simplify right side
    27,158.78x = 302,913,285.55
  5. Step 5: Solve for x
    x = 302,913,285.55/27,158.78
  6. Step 6: Final answer
    x = 11,153.42

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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.