Home / 20,980.23-31,470.76-7,829.98

Finding the Fourth Proportional to 20,980.23, 31,470.76 and 7,829.98

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Solution

The fourth proportional to 20,980.23, 31,470.76 and 7,829.98 is: 11,745.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.23 : 31,470.76 = 7,829.98 : x
  2. Step 2: Convert to fraction form
    20,980.23/31,470.76 = 7,829.98/x
  3. Step 3: Cross multiply
    20,980.23x = 31,470.76 × 7,829.98
  4. Step 4: Simplify right side
    20,980.23x = 246,415,264.03
  5. Step 5: Solve for x
    x = 246,415,264.03/20,980.23
  6. Step 6: Final answer
    x = 11,745.12

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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.