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Finding the Fourth Proportional to 4,938.81, 7,405.66 and 1,817.73

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Solution

The fourth proportional to 4,938.81, 7,405.66 and 1,817.73 is: 2,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.81 : 7,405.66 = 1,817.73 : x
  2. Step 2: Convert to fraction form
    4,938.81/7,405.66 = 1,817.73/x
  3. Step 3: Cross multiply
    4,938.81x = 7,405.66 × 1,817.73
  4. Step 4: Simplify right side
    4,938.81x = 13,461,490.35
  5. Step 5: Solve for x
    x = 13,461,490.35/4,938.81
  6. Step 6: Final answer
    x = 2,725.65

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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.