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Finding the Fourth Proportional to 7,152, 10,729.38 and 3,456.78

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Solution

The fourth proportional to 7,152, 10,729.38 and 3,456.78 is: 5,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152 : 10,729.38 = 3,456.78 : x
  2. Step 2: Convert to fraction form
    7,152/10,729.38 = 3,456.78/x
  3. Step 3: Cross multiply
    7,152x = 10,729.38 × 3,456.78
  4. Step 4: Simplify right side
    7,152x = 37,089,106.20
  5. Step 5: Solve for x
    x = 37,089,106.20/7,152
  6. Step 6: Final answer
    x = 5,185.84

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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.