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Finding the Fourth Proportional to 3,256.44, 4,881.06 and 1,609.50

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Solution

The fourth proportional to 3,256.44, 4,881.06 and 1,609.50 is: 2,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.44 : 4,881.06 = 1,609.50 : x
  2. Step 2: Convert to fraction form
    3,256.44/4,881.06 = 1,609.50/x
  3. Step 3: Cross multiply
    3,256.44x = 4,881.06 × 1,609.50
  4. Step 4: Simplify right side
    3,256.44x = 7,856,066.07
  5. Step 5: Solve for x
    x = 7,856,066.07/3,256.44
  6. Step 6: Final answer
    x = 2,412.47

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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.