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Finding the Fourth Proportional to 18,505.60, 25,537.52 and 10,122

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Solution

The fourth proportional to 18,505.60, 25,537.52 and 10,122 is: 13,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,505.60 : 25,537.52 = 10,122 : x
  2. Step 2: Convert to fraction form
    18,505.60/25,537.52 = 10,122/x
  3. Step 3: Cross multiply
    18,505.60x = 25,537.52 × 10,122
  4. Step 4: Simplify right side
    18,505.60x = 258,490,777.44
  5. Step 5: Solve for x
    x = 258,490,777.44/18,505.60
  6. Step 6: Final answer
    x = 13,968.25

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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.