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Finding the Fourth Proportional to 8,505.81, 11,743.65 and 5,323.86

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Solution

The fourth proportional to 8,505.81, 11,743.65 and 5,323.86 is: 7,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.81 : 11,743.65 = 5,323.86 : x
  2. Step 2: Convert to fraction form
    8,505.81/11,743.65 = 5,323.86/x
  3. Step 3: Cross multiply
    8,505.81x = 11,743.65 × 5,323.86
  4. Step 4: Simplify right side
    8,505.81x = 62,521,548.49
  5. Step 5: Solve for x
    x = 62,521,548.49/8,505.81
  6. Step 6: Final answer
    x = 7,350.45

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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.