Home / 2,089.28-2,879.84-1,416.86

Finding the Fourth Proportional to 2,089.28, 2,879.84 and 1,416.86

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Solution

The fourth proportional to 2,089.28, 2,879.84 and 1,416.86 is: 1,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.28 : 2,879.84 = 1,416.86 : x
  2. Step 2: Convert to fraction form
    2,089.28/2,879.84 = 1,416.86/x
  3. Step 3: Cross multiply
    2,089.28x = 2,879.84 × 1,416.86
  4. Step 4: Simplify right side
    2,089.28x = 4,080,330.10
  5. Step 5: Solve for x
    x = 4,080,330.10/2,089.28
  6. Step 6: Final answer
    x = 1,952.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.