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Finding the Fourth Proportional to 8,703.40, 13,057.26 and 4,081

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Solution

The fourth proportional to 8,703.40, 13,057.26 and 4,081 is: 6,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.40 : 13,057.26 = 4,081 : x
  2. Step 2: Convert to fraction form
    8,703.40/13,057.26 = 4,081/x
  3. Step 3: Cross multiply
    8,703.40x = 13,057.26 × 4,081
  4. Step 4: Simplify right side
    8,703.40x = 53,286,678.06
  5. Step 5: Solve for x
    x = 53,286,678.06/8,703.40
  6. Step 6: Final answer
    x = 6,122.51

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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.