Home / 1,820.40-2,729.61-845.64

Finding the Fourth Proportional to 1,820.40, 2,729.61 and 845.64

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Solution

The fourth proportional to 1,820.40, 2,729.61 and 845.64 is: 1,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.40 : 2,729.61 = 845.64 : x
  2. Step 2: Convert to fraction form
    1,820.40/2,729.61 = 845.64/x
  3. Step 3: Cross multiply
    1,820.40x = 2,729.61 × 845.64
  4. Step 4: Simplify right side
    1,820.40x = 2,308,267.40
  5. Step 5: Solve for x
    x = 2,308,267.40/1,820.40
  6. Step 6: Final answer
    x = 1,268.00

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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.