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Finding the Fourth Proportional to 31,827.20, 47,740.80 and 21,804.80

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Solution

The fourth proportional to 31,827.20, 47,740.80 and 21,804.80 is: 32,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.20 : 47,740.80 = 21,804.80 : x
  2. Step 2: Convert to fraction form
    31,827.20/47,740.80 = 21,804.80/x
  3. Step 3: Cross multiply
    31,827.20x = 47,740.80 × 21,804.80
  4. Step 4: Simplify right side
    31,827.20x = 1,040,978,595.84
  5. Step 5: Solve for x
    x = 1,040,978,595.84/31,827.20
  6. Step 6: Final answer
    x = 32,707.20

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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.