Home / 2,282.77-3,421.99-1,405.64

Finding the Fourth Proportional to 2,282.77, 3,421.99 and 1,405.64

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Solution

The fourth proportional to 2,282.77, 3,421.99 and 1,405.64 is: 2,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.77 : 3,421.99 = 1,405.64 : x
  2. Step 2: Convert to fraction form
    2,282.77/3,421.99 = 1,405.64/x
  3. Step 3: Cross multiply
    2,282.77x = 3,421.99 × 1,405.64
  4. Step 4: Simplify right side
    2,282.77x = 4,810,096.34
  5. Step 5: Solve for x
    x = 4,810,096.34/2,282.77
  6. Step 6: Final answer
    x = 2,107.13

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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.