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Finding the Fourth Proportional to 12,916, 17,824.08 and 7,028

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Solution

The fourth proportional to 12,916, 17,824.08 and 7,028 is: 9,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916 : 17,824.08 = 7,028 : x
  2. Step 2: Convert to fraction form
    12,916/17,824.08 = 7,028/x
  3. Step 3: Cross multiply
    12,916x = 17,824.08 × 7,028
  4. Step 4: Simplify right side
    12,916x = 125,267,634.24
  5. Step 5: Solve for x
    x = 125,267,634.24/12,916
  6. Step 6: Final answer
    x = 9,698.64

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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.