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Finding the Fourth Proportional to 2,100.52, 3,152.46 and 946.36

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Solution

The fourth proportional to 2,100.52, 3,152.46 and 946.36 is: 1,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.52 : 3,152.46 = 946.36 : x
  2. Step 2: Convert to fraction form
    2,100.52/3,152.46 = 946.36/x
  3. Step 3: Cross multiply
    2,100.52x = 3,152.46 × 946.36
  4. Step 4: Simplify right side
    2,100.52x = 2,983,362.05
  5. Step 5: Solve for x
    x = 2,983,362.05/2,100.52
  6. Step 6: Final answer
    x = 1,420.30

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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.