Home / 20,976.98-31,470.96-7,829.47

Finding the Fourth Proportional to 20,976.98, 31,470.96 and 7,829.47

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Solution

The fourth proportional to 20,976.98, 31,470.96 and 7,829.47 is: 11,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,976.98 : 31,470.96 = 7,829.47 : x
  2. Step 2: Convert to fraction form
    20,976.98/31,470.96 = 7,829.47/x
  3. Step 3: Cross multiply
    20,976.98x = 31,470.96 × 7,829.47
  4. Step 4: Simplify right side
    20,976.98x = 246,400,937.19
  5. Step 5: Solve for x
    x = 246,400,937.19/20,976.98
  6. Step 6: Final answer
    x = 11,746.25

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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.