Home / 2,050.24-3,075.28-511.20

Finding the Fourth Proportional to 2,050.24, 3,075.28 and 511.20

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Solution

The fourth proportional to 2,050.24, 3,075.28 and 511.20 is: 766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.24 : 3,075.28 = 511.20 : x
  2. Step 2: Convert to fraction form
    2,050.24/3,075.28 = 511.20/x
  3. Step 3: Cross multiply
    2,050.24x = 3,075.28 × 511.20
  4. Step 4: Simplify right side
    2,050.24x = 1,572,083.14
  5. Step 5: Solve for x
    x = 1,572,083.14/2,050.24
  6. Step 6: Final answer
    x = 766.78

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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.