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Finding the Fourth Proportional to 21,315.86, 31,960.91 and 8,495

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Solution

The fourth proportional to 21,315.86, 31,960.91 and 8,495 is: 12,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,315.86 : 31,960.91 = 8,495 : x
  2. Step 2: Convert to fraction form
    21,315.86/31,960.91 = 8,495/x
  3. Step 3: Cross multiply
    21,315.86x = 31,960.91 × 8,495
  4. Step 4: Simplify right side
    21,315.86x = 271,507,930.45
  5. Step 5: Solve for x
    x = 271,507,930.45/21,315.86
  6. Step 6: Final answer
    x = 12,737.37

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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.