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Finding the Fourth Proportional to 10,871.94, 15,004.79 and 6,893.43

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Solution

The fourth proportional to 10,871.94, 15,004.79 and 6,893.43 is: 9,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.94 : 15,004.79 = 6,893.43 : x
  2. Step 2: Convert to fraction form
    10,871.94/15,004.79 = 6,893.43/x
  3. Step 3: Cross multiply
    10,871.94x = 15,004.79 × 6,893.43
  4. Step 4: Simplify right side
    10,871.94x = 103,434,469.53
  5. Step 5: Solve for x
    x = 103,434,469.53/10,871.94
  6. Step 6: Final answer
    x = 9,513.89

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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.