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Finding the Fourth Proportional to 2,750.41, 4,123.77 and 900.86

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Solution

The fourth proportional to 2,750.41, 4,123.77 and 900.86 is: 1,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.41 : 4,123.77 = 900.86 : x
  2. Step 2: Convert to fraction form
    2,750.41/4,123.77 = 900.86/x
  3. Step 3: Cross multiply
    2,750.41x = 4,123.77 × 900.86
  4. Step 4: Simplify right side
    2,750.41x = 3,714,939.44
  5. Step 5: Solve for x
    x = 3,714,939.44/2,750.41
  6. Step 6: Final answer
    x = 1,350.69

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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.