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Finding the Fourth Proportional to 11,516.00, 15,890.94 and 6,480.09

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Solution

The fourth proportional to 11,516.00, 15,890.94 and 6,480.09 is: 8,941.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.00 : 15,890.94 = 6,480.09 : x
  2. Step 2: Convert to fraction form
    11,516.00/15,890.94 = 6,480.09/x
  3. Step 3: Cross multiply
    11,516.00x = 15,890.94 × 6,480.09
  4. Step 4: Simplify right side
    11,516.00x = 102,974,721.38
  5. Step 5: Solve for x
    x = 102,974,721.38/11,516.00
  6. Step 6: Final answer
    x = 8,941.89

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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.