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Finding the Fourth Proportional to 11,301.78, 16,958.14 and 6,916.85

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Solution

The fourth proportional to 11,301.78, 16,958.14 and 6,916.85 is: 10,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.78 : 16,958.14 = 6,916.85 : x
  2. Step 2: Convert to fraction form
    11,301.78/16,958.14 = 6,916.85/x
  3. Step 3: Cross multiply
    11,301.78x = 16,958.14 × 6,916.85
  4. Step 4: Simplify right side
    11,301.78x = 117,296,898.11
  5. Step 5: Solve for x
    x = 117,296,898.11/11,301.78
  6. Step 6: Final answer
    x = 10,378.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.