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Finding the Fourth Proportional to 2,473.81, 3,710.78 and 830.41

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Solution

The fourth proportional to 2,473.81, 3,710.78 and 830.41 is: 1,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.81 : 3,710.78 = 830.41 : x
  2. Step 2: Convert to fraction form
    2,473.81/3,710.78 = 830.41/x
  3. Step 3: Cross multiply
    2,473.81x = 3,710.78 × 830.41
  4. Step 4: Simplify right side
    2,473.81x = 3,081,464.67
  5. Step 5: Solve for x
    x = 3,081,464.67/2,473.81
  6. Step 6: Final answer
    x = 1,245.64

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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.