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Finding the Fourth Proportional to 3,120.80, 4,681.20 and 930.29

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Solution

The fourth proportional to 3,120.80, 4,681.20 and 930.29 is: 1,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.80 : 4,681.20 = 930.29 : x
  2. Step 2: Convert to fraction form
    3,120.80/4,681.20 = 930.29/x
  3. Step 3: Cross multiply
    3,120.80x = 4,681.20 × 930.29
  4. Step 4: Simplify right side
    3,120.80x = 4,354,873.55
  5. Step 5: Solve for x
    x = 4,354,873.55/3,120.80
  6. Step 6: Final answer
    x = 1,395.44

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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.