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Finding the Fourth Proportional to 2,380.93, 3,570.95 and 900.28

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Solution

The fourth proportional to 2,380.93, 3,570.95 and 900.28 is: 1,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.93 : 3,570.95 = 900.28 : x
  2. Step 2: Convert to fraction form
    2,380.93/3,570.95 = 900.28/x
  3. Step 3: Cross multiply
    2,380.93x = 3,570.95 × 900.28
  4. Step 4: Simplify right side
    2,380.93x = 3,214,861.58
  5. Step 5: Solve for x
    x = 3,214,861.58/2,380.93
  6. Step 6: Final answer
    x = 1,350.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.