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Finding the Fourth Proportional to 31,235.14, 46,842.90 and 10,453.78

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Solution

The fourth proportional to 31,235.14, 46,842.90 and 10,453.78 is: 15,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.14 : 46,842.90 = 10,453.78 : x
  2. Step 2: Convert to fraction form
    31,235.14/46,842.90 = 10,453.78/x
  3. Step 3: Cross multiply
    31,235.14x = 46,842.90 × 10,453.78
  4. Step 4: Simplify right side
    31,235.14x = 489,685,371.16
  5. Step 5: Solve for x
    x = 489,685,371.16/31,235.14
  6. Step 6: Final answer
    x = 15,677.39

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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.