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Finding the Fourth Proportional to 2,070.45, 3,105.41 and 974.25

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Solution

The fourth proportional to 2,070.45, 3,105.41 and 974.25 is: 1,461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.45 : 3,105.41 = 974.25 : x
  2. Step 2: Convert to fraction form
    2,070.45/3,105.41 = 974.25/x
  3. Step 3: Cross multiply
    2,070.45x = 3,105.41 × 974.25
  4. Step 4: Simplify right side
    2,070.45x = 3,025,440.82
  5. Step 5: Solve for x
    x = 3,025,440.82/2,070.45
  6. Step 6: Final answer
    x = 1,461.25

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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.