Home / 20,978.10-31,467.57-7,827.85

Finding the Fourth Proportional to 20,978.10, 31,467.57 and 7,827.85

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Solution

The fourth proportional to 20,978.10, 31,467.57 and 7,827.85 is: 11,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978.10 : 31,467.57 = 7,827.85 : x
  2. Step 2: Convert to fraction form
    20,978.10/31,467.57 = 7,827.85/x
  3. Step 3: Cross multiply
    20,978.10x = 31,467.57 × 7,827.85
  4. Step 4: Simplify right side
    20,978.10x = 246,323,339.16
  5. Step 5: Solve for x
    x = 246,323,339.16/20,978.10
  6. Step 6: Final answer
    x = 11,741.93

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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.