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Finding the Fourth Proportional to 7,075.77, 9,764.09 and 3,889.00

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Solution

The fourth proportional to 7,075.77, 9,764.09 and 3,889.00 is: 5,366.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.77 : 9,764.09 = 3,889.00 : x
  2. Step 2: Convert to fraction form
    7,075.77/9,764.09 = 3,889.00/x
  3. Step 3: Cross multiply
    7,075.77x = 9,764.09 × 3,889.00
  4. Step 4: Simplify right side
    7,075.77x = 37,972,497.19
  5. Step 5: Solve for x
    x = 37,972,497.19/7,075.77
  6. Step 6: Final answer
    x = 5,366.55

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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.