Home / 7,784.46-11,682.72-2,857.32

Finding the Fourth Proportional to 7,784.46, 11,682.72 and 2,857.32

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Solution

The fourth proportional to 7,784.46, 11,682.72 and 2,857.32 is: 4,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.46 : 11,682.72 = 2,857.32 : x
  2. Step 2: Convert to fraction form
    7,784.46/11,682.72 = 2,857.32/x
  3. Step 3: Cross multiply
    7,784.46x = 11,682.72 × 2,857.32
  4. Step 4: Simplify right side
    7,784.46x = 33,381,269.51
  5. Step 5: Solve for x
    x = 33,381,269.51/7,784.46
  6. Step 6: Final answer
    x = 4,288.19

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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.