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Finding the Fourth Proportional to 2,939.82, 4,409.74 and 992.04

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Solution

The fourth proportional to 2,939.82, 4,409.74 and 992.04 is: 1,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.82 : 4,409.74 = 992.04 : x
  2. Step 2: Convert to fraction form
    2,939.82/4,409.74 = 992.04/x
  3. Step 3: Cross multiply
    2,939.82x = 4,409.74 × 992.04
  4. Step 4: Simplify right side
    2,939.82x = 4,374,638.47
  5. Step 5: Solve for x
    x = 4,374,638.47/2,939.82
  6. Step 6: Final answer
    x = 1,488.06

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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.