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Finding the Fourth Proportional to 2,982.80, 4,124.04 and 2,058.32

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Solution

The fourth proportional to 2,982.80, 4,124.04 and 2,058.32 is: 2,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.80 : 4,124.04 = 2,058.32 : x
  2. Step 2: Convert to fraction form
    2,982.80/4,124.04 = 2,058.32/x
  3. Step 3: Cross multiply
    2,982.80x = 4,124.04 × 2,058.32
  4. Step 4: Simplify right side
    2,982.80x = 8,488,594.01
  5. Step 5: Solve for x
    x = 8,488,594.01/2,982.80
  6. Step 6: Final answer
    x = 2,845.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.