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Finding the Fourth Proportional to 8,682, 11,981.17 and 4,703.14

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Solution

The fourth proportional to 8,682, 11,981.17 and 4,703.14 is: 6,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682 : 11,981.17 = 4,703.14 : x
  2. Step 2: Convert to fraction form
    8,682/11,981.17 = 4,703.14/x
  3. Step 3: Cross multiply
    8,682x = 11,981.17 × 4,703.14
  4. Step 4: Simplify right side
    8,682x = 56,349,119.87
  5. Step 5: Solve for x
    x = 56,349,119.87/8,682
  6. Step 6: Final answer
    x = 6,490.34

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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.