Home / 1,820.12-2,729.76-845.30

Finding the Fourth Proportional to 1,820.12, 2,729.76 and 845.30

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Solution

The fourth proportional to 1,820.12, 2,729.76 and 845.30 is: 1,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.12 : 2,729.76 = 845.30 : x
  2. Step 2: Convert to fraction form
    1,820.12/2,729.76 = 845.30/x
  3. Step 3: Cross multiply
    1,820.12x = 2,729.76 × 845.30
  4. Step 4: Simplify right side
    1,820.12x = 2,307,466.13
  5. Step 5: Solve for x
    x = 2,307,466.13/1,820.12
  6. Step 6: Final answer
    x = 1,267.75

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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.