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Finding the Fourth Proportional to 2,559.48, 3,839.18 and 828.24

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Solution

The fourth proportional to 2,559.48, 3,839.18 and 828.24 is: 1,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.48 : 3,839.18 = 828.24 : x
  2. Step 2: Convert to fraction form
    2,559.48/3,839.18 = 828.24/x
  3. Step 3: Cross multiply
    2,559.48x = 3,839.18 × 828.24
  4. Step 4: Simplify right side
    2,559.48x = 3,179,762.44
  5. Step 5: Solve for x
    x = 3,179,762.44/2,559.48
  6. Step 6: Final answer
    x = 1,242.35

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1.5x scale

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.