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Finding the Fourth Proportional to 7,713.26, 11,569.86 and 1,869.86

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Solution

The fourth proportional to 7,713.26, 11,569.86 and 1,869.86 is: 2,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.26 : 11,569.86 = 1,869.86 : x
  2. Step 2: Convert to fraction form
    7,713.26/11,569.86 = 1,869.86/x
  3. Step 3: Cross multiply
    7,713.26x = 11,569.86 × 1,869.86
  4. Step 4: Simplify right side
    7,713.26x = 21,634,018.42
  5. Step 5: Solve for x
    x = 21,634,018.42/7,713.26
  6. Step 6: Final answer
    x = 2,804.78

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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.