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Finding the Fourth Proportional to 21,137.91, 31,706.91 and 6,346.77

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Solution

The fourth proportional to 21,137.91, 31,706.91 and 6,346.77 is: 9,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.91 : 31,706.91 = 6,346.77 : x
  2. Step 2: Convert to fraction form
    21,137.91/31,706.91 = 6,346.77/x
  3. Step 3: Cross multiply
    21,137.91x = 31,706.91 × 6,346.77
  4. Step 4: Simplify right side
    21,137.91x = 201,236,465.18
  5. Step 5: Solve for x
    x = 201,236,465.18/21,137.91
  6. Step 6: Final answer
    x = 9,520.17

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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.