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Finding the Fourth Proportional to 12,872, 17,762.56 and 7,129.12

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Solution

The fourth proportional to 12,872, 17,762.56 and 7,129.12 is: 9,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872 : 17,762.56 = 7,129.12 : x
  2. Step 2: Convert to fraction form
    12,872/17,762.56 = 7,129.12/x
  3. Step 3: Cross multiply
    12,872x = 17,762.56 × 7,129.12
  4. Step 4: Simplify right side
    12,872x = 126,631,421.75
  5. Step 5: Solve for x
    x = 126,631,421.75/12,872
  6. Step 6: Final answer
    x = 9,837.74

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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.