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Finding the Fourth Proportional to 11,775, 17,670.60 and 4,849.50

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Solution

The fourth proportional to 11,775, 17,670.60 and 4,849.50 is: 7,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775 : 17,670.60 = 4,849.50 : x
  2. Step 2: Convert to fraction form
    11,775/17,670.60 = 4,849.50/x
  3. Step 3: Cross multiply
    11,775x = 17,670.60 × 4,849.50
  4. Step 4: Simplify right side
    11,775x = 85,693,574.70
  5. Step 5: Solve for x
    x = 85,693,574.70/11,775
  6. Step 6: Final answer
    x = 7,277.59

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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.