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Finding the Fourth Proportional to 1,951.98, 2,939.47 and 1,407.99

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Solution

The fourth proportional to 1,951.98, 2,939.47 and 1,407.99 is: 2,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.98 : 2,939.47 = 1,407.99 : x
  2. Step 2: Convert to fraction form
    1,951.98/2,939.47 = 1,407.99/x
  3. Step 3: Cross multiply
    1,951.98x = 2,939.47 × 1,407.99
  4. Step 4: Simplify right side
    1,951.98x = 4,138,744.37
  5. Step 5: Solve for x
    x = 4,138,744.37/1,951.98
  6. Step 6: Final answer
    x = 2,120.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.