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Finding the Fourth Proportional to 12,702, 17,528.76 and 7,113

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Solution

The fourth proportional to 12,702, 17,528.76 and 7,113 is: 9,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702 : 17,528.76 = 7,113 : x
  2. Step 2: Convert to fraction form
    12,702/17,528.76 = 7,113/x
  3. Step 3: Cross multiply
    12,702x = 17,528.76 × 7,113
  4. Step 4: Simplify right side
    12,702x = 124,682,069.88
  5. Step 5: Solve for x
    x = 124,682,069.88/12,702
  6. Step 6: Final answer
    x = 9,815.94

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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.