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Finding the Fourth Proportional to 2,308.81, 3,464.73 and 847.97

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Solution

The fourth proportional to 2,308.81, 3,464.73 and 847.97 is: 1,272.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.81 : 3,464.73 = 847.97 : x
  2. Step 2: Convert to fraction form
    2,308.81/3,464.73 = 847.97/x
  3. Step 3: Cross multiply
    2,308.81x = 3,464.73 × 847.97
  4. Step 4: Simplify right side
    2,308.81x = 2,937,987.67
  5. Step 5: Solve for x
    x = 2,937,987.67/2,308.81
  6. Step 6: Final answer
    x = 1,272.51

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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.