Home / 2,094.96-3,141.24-778.60

Finding the Fourth Proportional to 2,094.96, 3,141.24 and 778.60

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Solution

The fourth proportional to 2,094.96, 3,141.24 and 778.60 is: 1,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.96 : 3,141.24 = 778.60 : x
  2. Step 2: Convert to fraction form
    2,094.96/3,141.24 = 778.60/x
  3. Step 3: Cross multiply
    2,094.96x = 3,141.24 × 778.60
  4. Step 4: Simplify right side
    2,094.96x = 2,445,769.46
  5. Step 5: Solve for x
    x = 2,445,769.46/2,094.96
  6. Step 6: Final answer
    x = 1,167.45

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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.