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Finding the Fourth Proportional to 11,315, 15,614.70 and 6,899

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Solution

The fourth proportional to 11,315, 15,614.70 and 6,899 is: 9,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315 : 15,614.70 = 6,899 : x
  2. Step 2: Convert to fraction form
    11,315/15,614.70 = 6,899/x
  3. Step 3: Cross multiply
    11,315x = 15,614.70 × 6,899
  4. Step 4: Simplify right side
    11,315x = 107,725,815.30
  5. Step 5: Solve for x
    x = 107,725,815.30/11,315
  6. Step 6: Final answer
    x = 9,520.62

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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.