Home / 2,820.92-4,231.10-971.78

Finding the Fourth Proportional to 2,820.92, 4,231.10 and 971.78

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Solution

The fourth proportional to 2,820.92, 4,231.10 and 971.78 is: 1,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.92 : 4,231.10 = 971.78 : x
  2. Step 2: Convert to fraction form
    2,820.92/4,231.10 = 971.78/x
  3. Step 3: Cross multiply
    2,820.92x = 4,231.10 × 971.78
  4. Step 4: Simplify right side
    2,820.92x = 4,111,679.63
  5. Step 5: Solve for x
    x = 4,111,679.63/2,820.92
  6. Step 6: Final answer
    x = 1,457.57

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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.