Home / 20,828.16-31,240.80-7,678.08

Finding the Fourth Proportional to 20,828.16, 31,240.80 and 7,678.08

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Solution

The fourth proportional to 20,828.16, 31,240.80 and 7,678.08 is: 11,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.16 : 31,240.80 = 7,678.08 : x
  2. Step 2: Convert to fraction form
    20,828.16/31,240.80 = 7,678.08/x
  3. Step 3: Cross multiply
    20,828.16x = 31,240.80 × 7,678.08
  4. Step 4: Simplify right side
    20,828.16x = 239,869,361.66
  5. Step 5: Solve for x
    x = 239,869,361.66/20,828.16
  6. Step 6: Final answer
    x = 11,516.59

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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.