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Finding the Fourth Proportional to 7,075.35, 9,763.35 and 3,888.61

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Solution

The fourth proportional to 7,075.35, 9,763.35 and 3,888.61 is: 5,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.35 : 9,763.35 = 3,888.61 : x
  2. Step 2: Convert to fraction form
    7,075.35/9,763.35 = 3,888.61/x
  3. Step 3: Cross multiply
    7,075.35x = 9,763.35 × 3,888.61
  4. Step 4: Simplify right side
    7,075.35x = 37,965,876.37
  5. Step 5: Solve for x
    x = 37,965,876.37/7,075.35
  6. Step 6: Final answer
    x = 5,365.94

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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.