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Finding the Fourth Proportional to 8,361.84, 11,542.50 and 7,178.16

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Solution

The fourth proportional to 8,361.84, 11,542.50 and 7,178.16 is: 9,908.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.84 : 11,542.50 = 7,178.16 : x
  2. Step 2: Convert to fraction form
    8,361.84/11,542.50 = 7,178.16/x
  3. Step 3: Cross multiply
    8,361.84x = 11,542.50 × 7,178.16
  4. Step 4: Simplify right side
    8,361.84x = 82,853,911.80
  5. Step 5: Solve for x
    x = 82,853,911.80/8,361.84
  6. Step 6: Final answer
    x = 9,908.57

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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.