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Finding the Fourth Proportional to 1,971.41, 2,958.93 and 998.19

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Solution

The fourth proportional to 1,971.41, 2,958.93 and 998.19 is: 1,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.41 : 2,958.93 = 998.19 : x
  2. Step 2: Convert to fraction form
    1,971.41/2,958.93 = 998.19/x
  3. Step 3: Cross multiply
    1,971.41x = 2,958.93 × 998.19
  4. Step 4: Simplify right side
    1,971.41x = 2,953,574.34
  5. Step 5: Solve for x
    x = 2,953,574.34/1,971.41
  6. Step 6: Final answer
    x = 1,498.21

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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.