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Finding the Fourth Proportional to 8,193.81, 12,289.67 and 2,646.58

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Solution

The fourth proportional to 8,193.81, 12,289.67 and 2,646.58 is: 3,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.81 : 12,289.67 = 2,646.58 : x
  2. Step 2: Convert to fraction form
    8,193.81/12,289.67 = 2,646.58/x
  3. Step 3: Cross multiply
    8,193.81x = 12,289.67 × 2,646.58
  4. Step 4: Simplify right side
    8,193.81x = 32,525,594.83
  5. Step 5: Solve for x
    x = 32,525,594.83/8,193.81
  6. Step 6: Final answer
    x = 3,969.53

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1.5x scale

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.