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Finding the Fourth Proportional to 11,105.80, 15,326 and 6,389.76

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Solution

The fourth proportional to 11,105.80, 15,326 and 6,389.76 is: 8,817.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.80 : 15,326 = 6,389.76 : x
  2. Step 2: Convert to fraction form
    11,105.80/15,326 = 6,389.76/x
  3. Step 3: Cross multiply
    11,105.80x = 15,326 × 6,389.76
  4. Step 4: Simplify right side
    11,105.80x = 97,929,461.76
  5. Step 5: Solve for x
    x = 97,929,461.76/11,105.80
  6. Step 6: Final answer
    x = 8,817.87

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1.5x scale

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.