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Finding the Fourth Proportional to 23,769, 32,799.60 and 13,158

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Solution

The fourth proportional to 23,769, 32,799.60 and 13,158 is: 18,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 32,799.60 = 13,158 : x
  2. Step 2: Convert to fraction form
    23,769/32,799.60 = 13,158/x
  3. Step 3: Cross multiply
    23,769x = 32,799.60 × 13,158
  4. Step 4: Simplify right side
    23,769x = 431,577,136.80
  5. Step 5: Solve for x
    x = 431,577,136.80/23,769
  6. Step 6: Final answer
    x = 18,157.14

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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.