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Finding the Fourth Proportional to 8,703.84, 11,991.60 and 8,289.12

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Solution

The fourth proportional to 8,703.84, 11,991.60 and 8,289.12 is: 11,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.84 : 11,991.60 = 8,289.12 : x
  2. Step 2: Convert to fraction form
    8,703.84/11,991.60 = 8,289.12/x
  3. Step 3: Cross multiply
    8,703.84x = 11,991.60 × 8,289.12
  4. Step 4: Simplify right side
    8,703.84x = 99,399,811.39
  5. Step 5: Solve for x
    x = 99,399,811.39/8,703.84
  6. Step 6: Final answer
    x = 11,420.23

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1.5x scale

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.