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Finding the Fourth Proportional to 12,358.56, 18,538.44 and 7,092.16

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Solution

The fourth proportional to 12,358.56, 18,538.44 and 7,092.16 is: 10,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.56 : 18,538.44 = 7,092.16 : x
  2. Step 2: Convert to fraction form
    12,358.56/18,538.44 = 7,092.16/x
  3. Step 3: Cross multiply
    12,358.56x = 18,538.44 × 7,092.16
  4. Step 4: Simplify right side
    12,358.56x = 131,477,582.63
  5. Step 5: Solve for x
    x = 131,477,582.63/12,358.56
  6. Step 6: Final answer
    x = 10,638.58

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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.