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Finding the Fourth Proportional to 2,409.58, 3,614.52 and 828.40

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Solution

The fourth proportional to 2,409.58, 3,614.52 and 828.40 is: 1,242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.58 : 3,614.52 = 828.40 : x
  2. Step 2: Convert to fraction form
    2,409.58/3,614.52 = 828.40/x
  3. Step 3: Cross multiply
    2,409.58x = 3,614.52 × 828.40
  4. Step 4: Simplify right side
    2,409.58x = 2,994,250.30
  5. Step 5: Solve for x
    x = 2,994,250.30/2,409.58
  6. Step 6: Final answer
    x = 1,242.64

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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.