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Finding the Fourth Proportional to 8,969.81, 13,455.72 and 3,424.34

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Solution

The fourth proportional to 8,969.81, 13,455.72 and 3,424.34 is: 5,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969.81 : 13,455.72 = 3,424.34 : x
  2. Step 2: Convert to fraction form
    8,969.81/13,455.72 = 3,424.34/x
  3. Step 3: Cross multiply
    8,969.81x = 13,455.72 × 3,424.34
  4. Step 4: Simplify right side
    8,969.81x = 46,076,993.86
  5. Step 5: Solve for x
    x = 46,076,993.86/8,969.81
  6. Step 6: Final answer
    x = 5,136.90

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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.