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Finding the Fourth Proportional to 2,705.62, 4,058.84 and 856.12

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Solution

The fourth proportional to 2,705.62, 4,058.84 and 856.12 is: 1,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.62 : 4,058.84 = 856.12 : x
  2. Step 2: Convert to fraction form
    2,705.62/4,058.84 = 856.12/x
  3. Step 3: Cross multiply
    2,705.62x = 4,058.84 × 856.12
  4. Step 4: Simplify right side
    2,705.62x = 3,474,854.10
  5. Step 5: Solve for x
    x = 3,474,854.10/2,705.62
  6. Step 6: Final answer
    x = 1,284.31

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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.