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Finding the Fourth Proportional to 30,674.89, 46,013.35 and 8,486.41

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Solution

The fourth proportional to 30,674.89, 46,013.35 and 8,486.41 is: 12,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,674.89 : 46,013.35 = 8,486.41 : x
  2. Step 2: Convert to fraction form
    30,674.89/46,013.35 = 8,486.41/x
  3. Step 3: Cross multiply
    30,674.89x = 46,013.35 × 8,486.41
  4. Step 4: Simplify right side
    30,674.89x = 390,487,955.33
  5. Step 5: Solve for x
    x = 390,487,955.33/30,674.89
  6. Step 6: Final answer
    x = 12,729.89

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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.