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Finding the Fourth Proportional to 31,129.80, 46,621.80 and 21,215.40

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Solution

The fourth proportional to 31,129.80, 46,621.80 and 21,215.40 is: 31,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.80 : 46,621.80 = 21,215.40 : x
  2. Step 2: Convert to fraction form
    31,129.80/46,621.80 = 21,215.40/x
  3. Step 3: Cross multiply
    31,129.80x = 46,621.80 × 21,215.40
  4. Step 4: Simplify right side
    31,129.80x = 989,100,135.72
  5. Step 5: Solve for x
    x = 989,100,135.72/31,129.80
  6. Step 6: Final answer
    x = 31,773.42

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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.