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Finding the Fourth Proportional to 1,969.79, 2,955.14 and 671.25

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Solution

The fourth proportional to 1,969.79, 2,955.14 and 671.25 is: 1,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.79 : 2,955.14 = 671.25 : x
  2. Step 2: Convert to fraction form
    1,969.79/2,955.14 = 671.25/x
  3. Step 3: Cross multiply
    1,969.79x = 2,955.14 × 671.25
  4. Step 4: Simplify right side
    1,969.79x = 1,983,634.37
  5. Step 5: Solve for x
    x = 1,983,634.37/1,969.79
  6. Step 6: Final answer
    x = 1,007.03

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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.