Home / 1,820.86-2,731.29-780.19

Finding the Fourth Proportional to 1,820.86, 2,731.29 and 780.19

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Solution

The fourth proportional to 1,820.86, 2,731.29 and 780.19 is: 1,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.86 : 2,731.29 = 780.19 : x
  2. Step 2: Convert to fraction form
    1,820.86/2,731.29 = 780.19/x
  3. Step 3: Cross multiply
    1,820.86x = 2,731.29 × 780.19
  4. Step 4: Simplify right side
    1,820.86x = 2,130,920.27
  5. Step 5: Solve for x
    x = 2,130,920.27/1,820.86
  6. Step 6: Final answer
    x = 1,170.28

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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.