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Finding the Fourth Proportional to 20,999, 31,503.36 and 7,148

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Solution

The fourth proportional to 20,999, 31,503.36 and 7,148 is: 10,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999 : 31,503.36 = 7,148 : x
  2. Step 2: Convert to fraction form
    20,999/31,503.36 = 7,148/x
  3. Step 3: Cross multiply
    20,999x = 31,503.36 × 7,148
  4. Step 4: Simplify right side
    20,999x = 225,186,017.28
  5. Step 5: Solve for x
    x = 225,186,017.28/20,999
  6. Step 6: Final answer
    x = 10,723.65

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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.