Home / 2,015.02-3,020.46-782.02

Finding the Fourth Proportional to 2,015.02, 3,020.46 and 782.02

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Solution

The fourth proportional to 2,015.02, 3,020.46 and 782.02 is: 1,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.02 : 3,020.46 = 782.02 : x
  2. Step 2: Convert to fraction form
    2,015.02/3,020.46 = 782.02/x
  3. Step 3: Cross multiply
    2,015.02x = 3,020.46 × 782.02
  4. Step 4: Simplify right side
    2,015.02x = 2,362,060.13
  5. Step 5: Solve for x
    x = 2,362,060.13/2,015.02
  6. Step 6: Final answer
    x = 1,172.23

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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.