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Finding the Fourth Proportional to 20,724, 31,090.59 and 7,576.08

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Solution

The fourth proportional to 20,724, 31,090.59 and 7,576.08 is: 11,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724 : 31,090.59 = 7,576.08 : x
  2. Step 2: Convert to fraction form
    20,724/31,090.59 = 7,576.08/x
  3. Step 3: Cross multiply
    20,724x = 31,090.59 × 7,576.08
  4. Step 4: Simplify right side
    20,724x = 235,544,797.09
  5. Step 5: Solve for x
    x = 235,544,797.09/20,724
  6. Step 6: Final answer
    x = 11,365.80

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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.