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Finding the Fourth Proportional to 11,813.80, 16,300.10 and 7,617

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Solution

The fourth proportional to 11,813.80, 16,300.10 and 7,617 is: 10,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.80 : 16,300.10 = 7,617 : x
  2. Step 2: Convert to fraction form
    11,813.80/16,300.10 = 7,617/x
  3. Step 3: Cross multiply
    11,813.80x = 16,300.10 × 7,617
  4. Step 4: Simplify right side
    11,813.80x = 124,157,861.70
  5. Step 5: Solve for x
    x = 124,157,861.70/11,813.80
  6. Step 6: Final answer
    x = 10,509.56

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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.