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Finding the Fourth Proportional to 1,959.91, 2,938.05 and 848.63

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Solution

The fourth proportional to 1,959.91, 2,938.05 and 848.63 is: 1,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.91 : 2,938.05 = 848.63 : x
  2. Step 2: Convert to fraction form
    1,959.91/2,938.05 = 848.63/x
  3. Step 3: Cross multiply
    1,959.91x = 2,938.05 × 848.63
  4. Step 4: Simplify right side
    1,959.91x = 2,493,302.68
  5. Step 5: Solve for x
    x = 2,493,302.68/1,959.91
  6. Step 6: Final answer
    x = 1,272.15

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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.