Home / 2,317.12-3,475.82-856.36

Finding the Fourth Proportional to 2,317.12, 3,475.82 and 856.36

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Solution

The fourth proportional to 2,317.12, 3,475.82 and 856.36 is: 1,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.12 : 3,475.82 = 856.36 : x
  2. Step 2: Convert to fraction form
    2,317.12/3,475.82 = 856.36/x
  3. Step 3: Cross multiply
    2,317.12x = 3,475.82 × 856.36
  4. Step 4: Simplify right side
    2,317.12x = 2,976,553.22
  5. Step 5: Solve for x
    x = 2,976,553.22/2,317.12
  6. Step 6: Final answer
    x = 1,284.59

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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.