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Finding the Fourth Proportional to 11,536, 15,919.68 and 6,568.96

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Solution

The fourth proportional to 11,536, 15,919.68 and 6,568.96 is: 9,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536 : 15,919.68 = 6,568.96 : x
  2. Step 2: Convert to fraction form
    11,536/15,919.68 = 6,568.96/x
  3. Step 3: Cross multiply
    11,536x = 15,919.68 × 6,568.96
  4. Step 4: Simplify right side
    11,536x = 104,575,741.13
  5. Step 5: Solve for x
    x = 104,575,741.13/11,536
  6. Step 6: Final answer
    x = 9,065.16

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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.