Home / 2,138.02-3,206.55-676.36

Finding the Fourth Proportional to 2,138.02, 3,206.55 and 676.36

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Solution

The fourth proportional to 2,138.02, 3,206.55 and 676.36 is: 1,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.02 : 3,206.55 = 676.36 : x
  2. Step 2: Convert to fraction form
    2,138.02/3,206.55 = 676.36/x
  3. Step 3: Cross multiply
    2,138.02x = 3,206.55 × 676.36
  4. Step 4: Simplify right side
    2,138.02x = 2,168,782.16
  5. Step 5: Solve for x
    x = 2,168,782.16/2,138.02
  6. Step 6: Final answer
    x = 1,014.39

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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.