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Finding the Fourth Proportional to 15,821.58, 23,710.50 and 13,469.34

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Solution

The fourth proportional to 15,821.58, 23,710.50 and 13,469.34 is: 20,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.58 : 23,710.50 = 13,469.34 : x
  2. Step 2: Convert to fraction form
    15,821.58/23,710.50 = 13,469.34/x
  3. Step 3: Cross multiply
    15,821.58x = 23,710.50 × 13,469.34
  4. Step 4: Simplify right side
    15,821.58x = 319,364,786.07
  5. Step 5: Solve for x
    x = 319,364,786.07/15,821.58
  6. Step 6: Final answer
    x = 20,185.39

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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.