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Finding the Fourth Proportional to 1,969.82, 2,955.75 and 1,276.31

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Solution

The fourth proportional to 1,969.82, 2,955.75 and 1,276.31 is: 1,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.82 : 2,955.75 = 1,276.31 : x
  2. Step 2: Convert to fraction form
    1,969.82/2,955.75 = 1,276.31/x
  3. Step 3: Cross multiply
    1,969.82x = 2,955.75 × 1,276.31
  4. Step 4: Simplify right side
    1,969.82x = 3,772,438.50
  5. Step 5: Solve for x
    x = 3,772,438.50/1,969.82
  6. Step 6: Final answer
    x = 1,915.12

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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.