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Finding the Fourth Proportional to 1,979.62, 2,969.36 and 940.12

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Solution

The fourth proportional to 1,979.62, 2,969.36 and 940.12 is: 1,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.62 : 2,969.36 = 940.12 : x
  2. Step 2: Convert to fraction form
    1,979.62/2,969.36 = 940.12/x
  3. Step 3: Cross multiply
    1,979.62x = 2,969.36 × 940.12
  4. Step 4: Simplify right side
    1,979.62x = 2,791,535.18
  5. Step 5: Solve for x
    x = 2,791,535.18/1,979.62
  6. Step 6: Final answer
    x = 1,410.14

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1.5x scale

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.