Home / 7,820.70-11,731.12-1,977.30

Finding the Fourth Proportional to 7,820.70, 11,731.12 and 1,977.30

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Solution

The fourth proportional to 7,820.70, 11,731.12 and 1,977.30 is: 2,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.70 : 11,731.12 = 1,977.30 : x
  2. Step 2: Convert to fraction form
    7,820.70/11,731.12 = 1,977.30/x
  3. Step 3: Cross multiply
    7,820.70x = 11,731.12 × 1,977.30
  4. Step 4: Simplify right side
    7,820.70x = 23,195,967.96
  5. Step 5: Solve for x
    x = 23,195,967.96/7,820.70
  6. Step 6: Final answer
    x = 2,965.97

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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.