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Finding the Fourth Proportional to 12,132.56, 16,742.92 and 7,100.24

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Solution

The fourth proportional to 12,132.56, 16,742.92 and 7,100.24 is: 9,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.56 : 16,742.92 = 7,100.24 : x
  2. Step 2: Convert to fraction form
    12,132.56/16,742.92 = 7,100.24/x
  3. Step 3: Cross multiply
    12,132.56x = 16,742.92 × 7,100.24
  4. Step 4: Simplify right side
    12,132.56x = 118,878,750.30
  5. Step 5: Solve for x
    x = 118,878,750.30/12,132.56
  6. Step 6: Final answer
    x = 9,798.32

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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.