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Finding the Fourth Proportional to 3,703.62, 5,555.22 and 930.30

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Solution

The fourth proportional to 3,703.62, 5,555.22 and 930.30 is: 1,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.62 : 5,555.22 = 930.30 : x
  2. Step 2: Convert to fraction form
    3,703.62/5,555.22 = 930.30/x
  3. Step 3: Cross multiply
    3,703.62x = 5,555.22 × 930.30
  4. Step 4: Simplify right side
    3,703.62x = 5,168,021.17
  5. Step 5: Solve for x
    x = 5,168,021.17/3,703.62
  6. Step 6: Final answer
    x = 1,395.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.