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Finding the Fourth Proportional to 2,776.06, 4,164.09 and 829.63

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Solution

The fourth proportional to 2,776.06, 4,164.09 and 829.63 is: 1,244.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.06 : 4,164.09 = 829.63 : x
  2. Step 2: Convert to fraction form
    2,776.06/4,164.09 = 829.63/x
  3. Step 3: Cross multiply
    2,776.06x = 4,164.09 × 829.63
  4. Step 4: Simplify right side
    2,776.06x = 3,454,653.99
  5. Step 5: Solve for x
    x = 3,454,653.99/2,776.06
  6. Step 6: Final answer
    x = 1,244.45

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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.