Home / 1,823.20-2,734.88-668.64

Finding the Fourth Proportional to 1,823.20, 2,734.88 and 668.64

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Solution

The fourth proportional to 1,823.20, 2,734.88 and 668.64 is: 1,002.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.20 : 2,734.88 = 668.64 : x
  2. Step 2: Convert to fraction form
    1,823.20/2,734.88 = 668.64/x
  3. Step 3: Cross multiply
    1,823.20x = 2,734.88 × 668.64
  4. Step 4: Simplify right side
    1,823.20x = 1,828,650.16
  5. Step 5: Solve for x
    x = 1,828,650.16/1,823.20
  6. Step 6: Final answer
    x = 1,002.99

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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.