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Finding the Fourth Proportional to 20,797.31, 31,173.61 and 7,457.47

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Solution

The fourth proportional to 20,797.31, 31,173.61 and 7,457.47 is: 11,178.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.31 : 31,173.61 = 7,457.47 : x
  2. Step 2: Convert to fraction form
    20,797.31/31,173.61 = 7,457.47/x
  3. Step 3: Cross multiply
    20,797.31x = 31,173.61 × 7,457.47
  4. Step 4: Simplify right side
    20,797.31x = 232,476,178.77
  5. Step 5: Solve for x
    x = 232,476,178.77/20,797.31
  6. Step 6: Final answer
    x = 11,178.19

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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.