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Finding the Fourth Proportional to 30,851.61, 46,295.92 and 13,321.43

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Solution

The fourth proportional to 30,851.61, 46,295.92 and 13,321.43 is: 19,990.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.61 : 46,295.92 = 13,321.43 : x
  2. Step 2: Convert to fraction form
    30,851.61/46,295.92 = 13,321.43/x
  3. Step 3: Cross multiply
    30,851.61x = 46,295.92 × 13,321.43
  4. Step 4: Simplify right side
    30,851.61x = 616,727,592.78
  5. Step 5: Solve for x
    x = 616,727,592.78/30,851.61
  6. Step 6: Final answer
    x = 19,990.13

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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.