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Finding the Fourth Proportional to 4,740, 7,112.03 and 1,817.93

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Solution

The fourth proportional to 4,740, 7,112.03 and 1,817.93 is: 2,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740 : 7,112.03 = 1,817.93 : x
  2. Step 2: Convert to fraction form
    4,740/7,112.03 = 1,817.93/x
  3. Step 3: Cross multiply
    4,740x = 7,112.03 × 1,817.93
  4. Step 4: Simplify right side
    4,740x = 12,929,128.05
  5. Step 5: Solve for x
    x = 12,929,128.05/4,740
  6. Step 6: Final answer
    x = 2,727.66

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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.