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Finding the Fourth Proportional to 15,047, 20,764.88 and 8,423

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Solution

The fourth proportional to 15,047, 20,764.88 and 8,423 is: 11,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,047 : 20,764.88 = 8,423 : x
  2. Step 2: Convert to fraction form
    15,047/20,764.88 = 8,423/x
  3. Step 3: Cross multiply
    15,047x = 20,764.88 × 8,423
  4. Step 4: Simplify right side
    15,047x = 174,902,584.24
  5. Step 5: Solve for x
    x = 174,902,584.24/15,047
  6. Step 6: Final answer
    x = 11,623.75

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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.