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Finding the Fourth Proportional to 16,851.96, 25,278 and 5,165.16

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Solution

The fourth proportional to 16,851.96, 25,278 and 5,165.16 is: 7,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.96 : 25,278 = 5,165.16 : x
  2. Step 2: Convert to fraction form
    16,851.96/25,278 = 5,165.16/x
  3. Step 3: Cross multiply
    16,851.96x = 25,278 × 5,165.16
  4. Step 4: Simplify right side
    16,851.96x = 130,564,914.48
  5. Step 5: Solve for x
    x = 130,564,914.48/16,851.96
  6. Step 6: Final answer
    x = 7,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.