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Finding the Fourth Proportional to 2,089.16, 3,134.88 and 856.28

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Solution

The fourth proportional to 2,089.16, 3,134.88 and 856.28 is: 1,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.16 : 3,134.88 = 856.28 : x
  2. Step 2: Convert to fraction form
    2,089.16/3,134.88 = 856.28/x
  3. Step 3: Cross multiply
    2,089.16x = 3,134.88 × 856.28
  4. Step 4: Simplify right side
    2,089.16x = 2,684,335.05
  5. Step 5: Solve for x
    x = 2,684,335.05/2,089.16
  6. Step 6: Final answer
    x = 1,284.89

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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.