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Finding the Fourth Proportional to 1,971.63, 2,948.94 and 1,872

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Solution

The fourth proportional to 1,971.63, 2,948.94 and 1,872 is: 2,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.63 : 2,948.94 = 1,872 : x
  2. Step 2: Convert to fraction form
    1,971.63/2,948.94 = 1,872/x
  3. Step 3: Cross multiply
    1,971.63x = 2,948.94 × 1,872
  4. Step 4: Simplify right side
    1,971.63x = 5,520,415.68
  5. Step 5: Solve for x
    x = 5,520,415.68/1,971.63
  6. Step 6: Final answer
    x = 2,799.92

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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.