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Finding the Fourth Proportional to 2,025.40, 3,037.20 and 930.12

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Solution

The fourth proportional to 2,025.40, 3,037.20 and 930.12 is: 1,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025.40 : 3,037.20 = 930.12 : x
  2. Step 2: Convert to fraction form
    2,025.40/3,037.20 = 930.12/x
  3. Step 3: Cross multiply
    2,025.40x = 3,037.20 × 930.12
  4. Step 4: Simplify right side
    2,025.40x = 2,824,960.46
  5. Step 5: Solve for x
    x = 2,824,960.46/2,025.40
  6. Step 6: Final answer
    x = 1,394.77

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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.