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Finding the Fourth Proportional to 1,979.88, 2,970.93 and 1,364.08

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Solution

The fourth proportional to 1,979.88, 2,970.93 and 1,364.08 is: 2,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.88 : 2,970.93 = 1,364.08 : x
  2. Step 2: Convert to fraction form
    1,979.88/2,970.93 = 1,364.08/x
  3. Step 3: Cross multiply
    1,979.88x = 2,970.93 × 1,364.08
  4. Step 4: Simplify right side
    1,979.88x = 4,052,583.88
  5. Step 5: Solve for x
    x = 4,052,583.88/1,979.88
  6. Step 6: Final answer
    x = 2,046.88

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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.