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Finding the Fourth Proportional to 3,381.66, 5,072.82 and 916.50

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Solution

The fourth proportional to 3,381.66, 5,072.82 and 916.50 is: 1,374.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.66 : 5,072.82 = 916.50 : x
  2. Step 2: Convert to fraction form
    3,381.66/5,072.82 = 916.50/x
  3. Step 3: Cross multiply
    3,381.66x = 5,072.82 × 916.50
  4. Step 4: Simplify right side
    3,381.66x = 4,649,239.53
  5. Step 5: Solve for x
    x = 4,649,239.53/3,381.66
  6. Step 6: Final answer
    x = 1,374.84

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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.