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Finding the Fourth Proportional to 1,970.41, 2,957.43 and 997.19

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Solution

The fourth proportional to 1,970.41, 2,957.43 and 997.19 is: 1,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.41 : 2,957.43 = 997.19 : x
  2. Step 2: Convert to fraction form
    1,970.41/2,957.43 = 997.19/x
  3. Step 3: Cross multiply
    1,970.41x = 2,957.43 × 997.19
  4. Step 4: Simplify right side
    1,970.41x = 2,949,119.62
  5. Step 5: Solve for x
    x = 2,949,119.62/1,970.41
  6. Step 6: Final answer
    x = 1,496.71

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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.