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Finding the Fourth Proportional to 31,804.80, 47,712.60 and 17,009.70

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Solution

The fourth proportional to 31,804.80, 47,712.60 and 17,009.70 is: 25,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.80 : 47,712.60 = 17,009.70 : x
  2. Step 2: Convert to fraction form
    31,804.80/47,712.60 = 17,009.70/x
  3. Step 3: Cross multiply
    31,804.80x = 47,712.60 × 17,009.70
  4. Step 4: Simplify right side
    31,804.80x = 811,577,012.22
  5. Step 5: Solve for x
    x = 811,577,012.22/31,804.80
  6. Step 6: Final answer
    x = 25,517.44

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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.