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Finding the Fourth Proportional to 14,510.31, 20,029.80 and 8,542.23

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Solution

The fourth proportional to 14,510.31, 20,029.80 and 8,542.23 is: 11,791.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.31 : 20,029.80 = 8,542.23 : x
  2. Step 2: Convert to fraction form
    14,510.31/20,029.80 = 8,542.23/x
  3. Step 3: Cross multiply
    14,510.31x = 20,029.80 × 8,542.23
  4. Step 4: Simplify right side
    14,510.31x = 171,099,158.45
  5. Step 5: Solve for x
    x = 171,099,158.45/14,510.31
  6. Step 6: Final answer
    x = 11,791.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.