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Finding the Fourth Proportional to 16,699.90, 23,048.39 and 9,529.78

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Solution

The fourth proportional to 16,699.90, 23,048.39 and 9,529.78 is: 13,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699.90 : 23,048.39 = 9,529.78 : x
  2. Step 2: Convert to fraction form
    16,699.90/23,048.39 = 9,529.78/x
  3. Step 3: Cross multiply
    16,699.90x = 23,048.39 × 9,529.78
  4. Step 4: Simplify right side
    16,699.90x = 219,646,086.05
  5. Step 5: Solve for x
    x = 219,646,086.05/16,699.90
  6. Step 6: Final answer
    x = 13,152.54

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