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Finding the Fourth Proportional to 1,969.31, 2,953.97 and 815.06

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Solution

The fourth proportional to 1,969.31, 2,953.97 and 815.06 is: 1,222.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.31 : 2,953.97 = 815.06 : x
  2. Step 2: Convert to fraction form
    1,969.31/2,953.97 = 815.06/x
  3. Step 3: Cross multiply
    1,969.31x = 2,953.97 × 815.06
  4. Step 4: Simplify right side
    1,969.31x = 2,407,669.15
  5. Step 5: Solve for x
    x = 2,407,669.15/1,969.31
  6. Step 6: Final answer
    x = 1,222.59

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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.