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Finding the Fourth Proportional to 31,279.70, 46,919.64 and 15,693.68

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Solution

The fourth proportional to 31,279.70, 46,919.64 and 15,693.68 is: 23,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.70 : 46,919.64 = 15,693.68 : x
  2. Step 2: Convert to fraction form
    31,279.70/46,919.64 = 15,693.68/x
  3. Step 3: Cross multiply
    31,279.70x = 46,919.64 × 15,693.68
  4. Step 4: Simplify right side
    31,279.70x = 736,341,815.88
  5. Step 5: Solve for x
    x = 736,341,815.88/31,279.70
  6. Step 6: Final answer
    x = 23,540.57

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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.