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Finding the Fourth Proportional to 7,768.54, 10,722.36 and 5,075.02

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Solution

The fourth proportional to 7,768.54, 10,722.36 and 5,075.02 is: 7,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.54 : 10,722.36 = 5,075.02 : x
  2. Step 2: Convert to fraction form
    7,768.54/10,722.36 = 5,075.02/x
  3. Step 3: Cross multiply
    7,768.54x = 10,722.36 × 5,075.02
  4. Step 4: Simplify right side
    7,768.54x = 54,416,191.45
  5. Step 5: Solve for x
    x = 54,416,191.45/7,768.54
  6. Step 6: Final answer
    x = 7,004.69

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