Home / 7,830.12-11,742.09-2,896.38

Finding the Fourth Proportional to 7,830.12, 11,742.09 and 2,896.38

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Solution

The fourth proportional to 7,830.12, 11,742.09 and 2,896.38 is: 4,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.12 : 11,742.09 = 2,896.38 : x
  2. Step 2: Convert to fraction form
    7,830.12/11,742.09 = 2,896.38/x
  3. Step 3: Cross multiply
    7,830.12x = 11,742.09 × 2,896.38
  4. Step 4: Simplify right side
    7,830.12x = 34,009,554.63
  5. Step 5: Solve for x
    x = 34,009,554.63/7,830.12
  6. Step 6: Final answer
    x = 4,343.43

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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.