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Finding the Fourth Proportional to 26,114, 39,171 and 6,658

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Solution

The fourth proportional to 26,114, 39,171 and 6,658 is: 9,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114 : 39,171 = 6,658 : x
  2. Step 2: Convert to fraction form
    26,114/39,171 = 6,658/x
  3. Step 3: Cross multiply
    26,114x = 39,171 × 6,658
  4. Step 4: Simplify right side
    26,114x = 260,800,518
  5. Step 5: Solve for x
    x = 260,800,518/26,114
  6. Step 6: Final answer
    x = 9,987

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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.