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Finding the Fourth Proportional to 2,777.88, 3,833.06 and 1,783.29

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Solution

The fourth proportional to 2,777.88, 3,833.06 and 1,783.29 is: 2,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.88 : 3,833.06 = 1,783.29 : x
  2. Step 2: Convert to fraction form
    2,777.88/3,833.06 = 1,783.29/x
  3. Step 3: Cross multiply
    2,777.88x = 3,833.06 × 1,783.29
  4. Step 4: Simplify right side
    2,777.88x = 6,835,448.65
  5. Step 5: Solve for x
    x = 6,835,448.65/2,777.88
  6. Step 6: Final answer
    x = 2,460.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.