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Finding the Fourth Proportional to 2,075.80, 3,115.32 and 777.64

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Solution

The fourth proportional to 2,075.80, 3,115.32 and 777.64 is: 1,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.80 : 3,115.32 = 777.64 : x
  2. Step 2: Convert to fraction form
    2,075.80/3,115.32 = 777.64/x
  3. Step 3: Cross multiply
    2,075.80x = 3,115.32 × 777.64
  4. Step 4: Simplify right side
    2,075.80x = 2,422,597.44
  5. Step 5: Solve for x
    x = 2,422,597.44/2,075.80
  6. Step 6: Final answer
    x = 1,167.07

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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.