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Finding the Fourth Proportional to 3,208.40, 4,814.04 and 2,056.40

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Solution

The fourth proportional to 3,208.40, 4,814.04 and 2,056.40 is: 3,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.40 : 4,814.04 = 2,056.40 : x
  2. Step 2: Convert to fraction form
    3,208.40/4,814.04 = 2,056.40/x
  3. Step 3: Cross multiply
    3,208.40x = 4,814.04 × 2,056.40
  4. Step 4: Simplify right side
    3,208.40x = 9,899,591.86
  5. Step 5: Solve for x
    x = 9,899,591.86/3,208.40
  6. Step 6: Final answer
    x = 3,085.52

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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.