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Finding the Fourth Proportional to 1,972.63, 2,954.70 and 931.07

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Solution

The fourth proportional to 1,972.63, 2,954.70 and 931.07 is: 1,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.63 : 2,954.70 = 931.07 : x
  2. Step 2: Convert to fraction form
    1,972.63/2,954.70 = 931.07/x
  3. Step 3: Cross multiply
    1,972.63x = 2,954.70 × 931.07
  4. Step 4: Simplify right side
    1,972.63x = 2,751,039.92
  5. Step 5: Solve for x
    x = 2,751,039.92/1,972.63
  6. Step 6: Final answer
    x = 1,394.60

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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.