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Finding the Fourth Proportional to 8,565.44, 11,815.74 and 5,209.27

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Solution

The fourth proportional to 8,565.44, 11,815.74 and 5,209.27 is: 7,186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.44 : 11,815.74 = 5,209.27 : x
  2. Step 2: Convert to fraction form
    8,565.44/11,815.74 = 5,209.27/x
  3. Step 3: Cross multiply
    8,565.44x = 11,815.74 × 5,209.27
  4. Step 4: Simplify right side
    8,565.44x = 61,551,350.37
  5. Step 5: Solve for x
    x = 61,551,350.37/8,565.44
  6. Step 6: Final answer
    x = 7,186.02

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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.