Home / 2,075.90-3,115.14-778.28

Finding the Fourth Proportional to 2,075.90, 3,115.14 and 778.28

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Solution

The fourth proportional to 2,075.90, 3,115.14 and 778.28 is: 1,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.90 : 3,115.14 = 778.28 : x
  2. Step 2: Convert to fraction form
    2,075.90/3,115.14 = 778.28/x
  3. Step 3: Cross multiply
    2,075.90x = 3,115.14 × 778.28
  4. Step 4: Simplify right side
    2,075.90x = 2,424,451.16
  5. Step 5: Solve for x
    x = 2,424,451.16/2,075.90
  6. Step 6: Final answer
    x = 1,167.90

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1.5x scale

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.