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Finding the Fourth Proportional to 8,347.73, 12,503.36 and 3,661.47

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Solution

The fourth proportional to 8,347.73, 12,503.36 and 3,661.47 is: 5,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.73 : 12,503.36 = 3,661.47 : x
  2. Step 2: Convert to fraction form
    8,347.73/12,503.36 = 3,661.47/x
  3. Step 3: Cross multiply
    8,347.73x = 12,503.36 × 3,661.47
  4. Step 4: Simplify right side
    8,347.73x = 45,780,686.69
  5. Step 5: Solve for x
    x = 45,780,686.69/8,347.73
  6. Step 6: Final answer
    x = 5,484.21

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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.