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Finding the Fourth Proportional to 3,076.74, 4,614.96 and 885.45

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Solution

The fourth proportional to 3,076.74, 4,614.96 and 885.45 is: 1,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.74 : 4,614.96 = 885.45 : x
  2. Step 2: Convert to fraction form
    3,076.74/4,614.96 = 885.45/x
  3. Step 3: Cross multiply
    3,076.74x = 4,614.96 × 885.45
  4. Step 4: Simplify right side
    3,076.74x = 4,086,316.33
  5. Step 5: Solve for x
    x = 4,086,316.33/3,076.74
  6. Step 6: Final answer
    x = 1,328.13

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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.