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Finding the Fourth Proportional to 2,157.96, 2,980.98 and 2,078.04

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Solution

The fourth proportional to 2,157.96, 2,980.98 and 2,078.04 is: 2,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.96 : 2,980.98 = 2,078.04 : x
  2. Step 2: Convert to fraction form
    2,157.96/2,980.98 = 2,078.04/x
  3. Step 3: Cross multiply
    2,157.96x = 2,980.98 × 2,078.04
  4. Step 4: Simplify right side
    2,157.96x = 6,194,595.68
  5. Step 5: Solve for x
    x = 6,194,595.68/2,157.96
  6. Step 6: Final answer
    x = 2,870.58

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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.