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Finding the Fourth Proportional to 11,604.60, 16,018.92 and 7,830

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Solution

The fourth proportional to 11,604.60, 16,018.92 and 7,830 is: 10,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.60 : 16,018.92 = 7,830 : x
  2. Step 2: Convert to fraction form
    11,604.60/16,018.92 = 7,830/x
  3. Step 3: Cross multiply
    11,604.60x = 16,018.92 × 7,830
  4. Step 4: Simplify right side
    11,604.60x = 125,428,143.60
  5. Step 5: Solve for x
    x = 125,428,143.60/11,604.60
  6. Step 6: Final answer
    x = 10,808.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.