Home / 2,317.60-3,478.08-856.96

Finding the Fourth Proportional to 2,317.60, 3,478.08 and 856.96

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Solution

The fourth proportional to 2,317.60, 3,478.08 and 856.96 is: 1,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.60 : 3,478.08 = 856.96 : x
  2. Step 2: Convert to fraction form
    2,317.60/3,478.08 = 856.96/x
  3. Step 3: Cross multiply
    2,317.60x = 3,478.08 × 856.96
  4. Step 4: Simplify right side
    2,317.60x = 2,980,575.44
  5. Step 5: Solve for x
    x = 2,980,575.44/2,317.60
  6. Step 6: Final answer
    x = 1,286.06

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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.