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Finding the Fourth Proportional to 31,015.80, 46,472.40 and 17,845.20

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Solution

The fourth proportional to 31,015.80, 46,472.40 and 17,845.20 is: 26,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.80 : 46,472.40 = 17,845.20 : x
  2. Step 2: Convert to fraction form
    31,015.80/46,472.40 = 17,845.20/x
  3. Step 3: Cross multiply
    31,015.80x = 46,472.40 × 17,845.20
  4. Step 4: Simplify right side
    31,015.80x = 829,309,272.48
  5. Step 5: Solve for x
    x = 829,309,272.48/31,015.80
  6. Step 6: Final answer
    x = 26,738.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.