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Finding the Fourth Proportional to 11,144, 15,369.87 and 9,470.95

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Solution

The fourth proportional to 11,144, 15,369.87 and 9,470.95 is: 13,062.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144 : 15,369.87 = 9,470.95 : x
  2. Step 2: Convert to fraction form
    11,144/15,369.87 = 9,470.95/x
  3. Step 3: Cross multiply
    11,144x = 15,369.87 × 9,470.95
  4. Step 4: Simplify right side
    11,144x = 145,567,146.07
  5. Step 5: Solve for x
    x = 145,567,146.07/11,144
  6. Step 6: Final answer
    x = 13,062.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.