Home / 20,848-31,272.72-6,996.64

Finding the Fourth Proportional to 20,848, 31,272.72 and 6,996.64

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Solution

The fourth proportional to 20,848, 31,272.72 and 6,996.64 is: 10,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,848 : 31,272.72 = 6,996.64 : x
  2. Step 2: Convert to fraction form
    20,848/31,272.72 = 6,996.64/x
  3. Step 3: Cross multiply
    20,848x = 31,272.72 × 6,996.64
  4. Step 4: Simplify right side
    20,848x = 218,803,963.66
  5. Step 5: Solve for x
    x = 218,803,963.66/20,848
  6. Step 6: Final answer
    x = 10,495.20

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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.