Home / 2,971.96-4,457.84-1,724.40

Finding the Fourth Proportional to 2,971.96, 4,457.84 and 1,724.40

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Solution

The fourth proportional to 2,971.96, 4,457.84 and 1,724.40 is: 2,586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.96 : 4,457.84 = 1,724.40 : x
  2. Step 2: Convert to fraction form
    2,971.96/4,457.84 = 1,724.40/x
  3. Step 3: Cross multiply
    2,971.96x = 4,457.84 × 1,724.40
  4. Step 4: Simplify right side
    2,971.96x = 7,687,099.30
  5. Step 5: Solve for x
    x = 7,687,099.30/2,971.96
  6. Step 6: Final answer
    x = 2,586.54

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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.