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Finding the Fourth Proportional to 15,912.63, 23,862.93 and 12,784.95

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Solution

The fourth proportional to 15,912.63, 23,862.93 and 12,784.95 is: 19,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,912.63 : 23,862.93 = 12,784.95 : x
  2. Step 2: Convert to fraction form
    15,912.63/23,862.93 = 12,784.95/x
  3. Step 3: Cross multiply
    15,912.63x = 23,862.93 × 12,784.95
  4. Step 4: Simplify right side
    15,912.63x = 305,086,366.90
  5. Step 5: Solve for x
    x = 305,086,366.90/15,912.63
  6. Step 6: Final answer
    x = 19,172.59

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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.