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Finding the Fourth Proportional to 31,762.47, 43,796.31 and 20,262.04

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Solution

The fourth proportional to 31,762.47, 43,796.31 and 20,262.04 is: 27,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.47 : 43,796.31 = 20,262.04 : x
  2. Step 2: Convert to fraction form
    31,762.47/43,796.31 = 20,262.04/x
  3. Step 3: Cross multiply
    31,762.47x = 43,796.31 × 20,262.04
  4. Step 4: Simplify right side
    31,762.47x = 887,402,585.07
  5. Step 5: Solve for x
    x = 887,402,585.07/31,762.47
  6. Step 6: Final answer
    x = 27,938.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.