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Finding the Fourth Proportional to 2,969.78, 4,451.30 and 1,505.84

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Solution

The fourth proportional to 2,969.78, 4,451.30 and 1,505.84 is: 2,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.78 : 4,451.30 = 1,505.84 : x
  2. Step 2: Convert to fraction form
    2,969.78/4,451.30 = 1,505.84/x
  3. Step 3: Cross multiply
    2,969.78x = 4,451.30 × 1,505.84
  4. Step 4: Simplify right side
    2,969.78x = 6,702,938.06
  5. Step 5: Solve for x
    x = 6,702,938.06/2,969.78
  6. Step 6: Final answer
    x = 2,257.05

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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.