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Finding the Fourth Proportional to 11,296, 15,590.44 and 6,515.08

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Solution

The fourth proportional to 11,296, 15,590.44 and 6,515.08 is: 8,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296 : 15,590.44 = 6,515.08 : x
  2. Step 2: Convert to fraction form
    11,296/15,590.44 = 6,515.08/x
  3. Step 3: Cross multiply
    11,296x = 15,590.44 × 6,515.08
  4. Step 4: Simplify right side
    11,296x = 101,572,963.84
  5. Step 5: Solve for x
    x = 101,572,963.84/11,296
  6. Step 6: Final answer
    x = 8,991.94

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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.