Home / 1,610.20-2,405.12-1,284.64

Finding the Fourth Proportional to 1,610.20, 2,405.12 and 1,284.64

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Solution

The fourth proportional to 1,610.20, 2,405.12 and 1,284.64 is: 1,918.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.20 : 2,405.12 = 1,284.64 : x
  2. Step 2: Convert to fraction form
    1,610.20/2,405.12 = 1,284.64/x
  3. Step 3: Cross multiply
    1,610.20x = 2,405.12 × 1,284.64
  4. Step 4: Simplify right side
    1,610.20x = 3,089,713.36
  5. Step 5: Solve for x
    x = 3,089,713.36/1,610.20
  6. Step 6: Final answer
    x = 1,918.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.