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Finding the Fourth Proportional to 3,930.03, 5,894.40 and 1,156.39

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Solution

The fourth proportional to 3,930.03, 5,894.40 and 1,156.39 is: 1,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.03 : 5,894.40 = 1,156.39 : x
  2. Step 2: Convert to fraction form
    3,930.03/5,894.40 = 1,156.39/x
  3. Step 3: Cross multiply
    3,930.03x = 5,894.40 × 1,156.39
  4. Step 4: Simplify right side
    3,930.03x = 6,816,225.22
  5. Step 5: Solve for x
    x = 6,816,225.22/3,930.03
  6. Step 6: Final answer
    x = 1,734.40

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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.