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Finding the Fourth Proportional to 31,238, 46,863.48 and 12,770

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Solution

The fourth proportional to 31,238, 46,863.48 and 12,770 is: 19,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238 : 46,863.48 = 12,770 : x
  2. Step 2: Convert to fraction form
    31,238/46,863.48 = 12,770/x
  3. Step 3: Cross multiply
    31,238x = 46,863.48 × 12,770
  4. Step 4: Simplify right side
    31,238x = 598,446,639.60
  5. Step 5: Solve for x
    x = 598,446,639.60/31,238
  6. Step 6: Final answer
    x = 19,157.65

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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.