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Finding the Fourth Proportional to 2,980.60, 4,471.65 and 1,749.09

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Solution

The fourth proportional to 2,980.60, 4,471.65 and 1,749.09 is: 2,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.60 : 4,471.65 = 1,749.09 : x
  2. Step 2: Convert to fraction form
    2,980.60/4,471.65 = 1,749.09/x
  3. Step 3: Cross multiply
    2,980.60x = 4,471.65 × 1,749.09
  4. Step 4: Simplify right side
    2,980.60x = 7,821,318.30
  5. Step 5: Solve for x
    x = 7,821,318.30/2,980.60
  6. Step 6: Final answer
    x = 2,624.08

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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.