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Finding the Fourth Proportional to 8,606.34, 12,910.32 and 3,411

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Solution

The fourth proportional to 8,606.34, 12,910.32 and 3,411 is: 5,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,606.34 : 12,910.32 = 3,411 : x
  2. Step 2: Convert to fraction form
    8,606.34/12,910.32 = 3,411/x
  3. Step 3: Cross multiply
    8,606.34x = 12,910.32 × 3,411
  4. Step 4: Simplify right side
    8,606.34x = 44,037,101.52
  5. Step 5: Solve for x
    x = 44,037,101.52/8,606.34
  6. Step 6: Final answer
    x = 5,116.82

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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.