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Finding the Fourth Proportional to 8,813.84, 13,194.79 and 7,720.34

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Solution

The fourth proportional to 8,813.84, 13,194.79 and 7,720.34 is: 11,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.84 : 13,194.79 = 7,720.34 : x
  2. Step 2: Convert to fraction form
    8,813.84/13,194.79 = 7,720.34/x
  3. Step 3: Cross multiply
    8,813.84x = 13,194.79 × 7,720.34
  4. Step 4: Simplify right side
    8,813.84x = 101,868,265.03
  5. Step 5: Solve for x
    x = 101,868,265.03/8,813.84
  6. Step 6: Final answer
    x = 11,557.76

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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.