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Finding the Fourth Proportional to 17,125.16, 25,688.28 and 7,638.44

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Solution

The fourth proportional to 17,125.16, 25,688.28 and 7,638.44 is: 11,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,125.16 : 25,688.28 = 7,638.44 : x
  2. Step 2: Convert to fraction form
    17,125.16/25,688.28 = 7,638.44/x
  3. Step 3: Cross multiply
    17,125.16x = 25,688.28 × 7,638.44
  4. Step 4: Simplify right side
    17,125.16x = 196,218,385.48
  5. Step 5: Solve for x
    x = 196,218,385.48/17,125.16
  6. Step 6: Final answer
    x = 11,457.90

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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.