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Finding the Fourth Proportional to 1,979.71, 2,968.70 and 940.01

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Solution

The fourth proportional to 1,979.71, 2,968.70 and 940.01 is: 1,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.71 : 2,968.70 = 940.01 : x
  2. Step 2: Convert to fraction form
    1,979.71/2,968.70 = 940.01/x
  3. Step 3: Cross multiply
    1,979.71x = 2,968.70 × 940.01
  4. Step 4: Simplify right side
    1,979.71x = 2,790,607.69
  5. Step 5: Solve for x
    x = 2,790,607.69/1,979.71
  6. Step 6: Final answer
    x = 1,409.60

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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.