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Finding the Fourth Proportional to 2,010.48, 3,015.54 and 900.24

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Solution

The fourth proportional to 2,010.48, 3,015.54 and 900.24 is: 1,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.48 : 3,015.54 = 900.24 : x
  2. Step 2: Convert to fraction form
    2,010.48/3,015.54 = 900.24/x
  3. Step 3: Cross multiply
    2,010.48x = 3,015.54 × 900.24
  4. Step 4: Simplify right side
    2,010.48x = 2,714,709.73
  5. Step 5: Solve for x
    x = 2,714,709.73/2,010.48
  6. Step 6: Final answer
    x = 1,350.28

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1.5x scale

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.