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Finding the Fourth Proportional to 3,111.96, 4,668.06 and 803.46

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Solution

The fourth proportional to 3,111.96, 4,668.06 and 803.46 is: 1,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.96 : 4,668.06 = 803.46 : x
  2. Step 2: Convert to fraction form
    3,111.96/4,668.06 = 803.46/x
  3. Step 3: Cross multiply
    3,111.96x = 4,668.06 × 803.46
  4. Step 4: Simplify right side
    3,111.96x = 3,750,599.49
  5. Step 5: Solve for x
    x = 3,750,599.49/3,111.96
  6. Step 6: Final answer
    x = 1,205.22

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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.