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Finding the Fourth Proportional to 31,740, 43,740.80 and 23,244.72

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Solution

The fourth proportional to 31,740, 43,740.80 and 23,244.72 is: 32,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740 : 43,740.80 = 23,244.72 : x
  2. Step 2: Convert to fraction form
    31,740/43,740.80 = 23,244.72/x
  3. Step 3: Cross multiply
    31,740x = 43,740.80 × 23,244.72
  4. Step 4: Simplify right side
    31,740x = 1,016,742,648.58
  5. Step 5: Solve for x
    x = 1,016,742,648.58/31,740
  6. Step 6: Final answer
    x = 32,033.48

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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.