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Finding the Fourth Proportional to 26,317, 39,475.50 and 6,861

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Solution

The fourth proportional to 26,317, 39,475.50 and 6,861 is: 10,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,317 : 39,475.50 = 6,861 : x
  2. Step 2: Convert to fraction form
    26,317/39,475.50 = 6,861/x
  3. Step 3: Cross multiply
    26,317x = 39,475.50 × 6,861
  4. Step 4: Simplify right side
    26,317x = 270,841,405.50
  5. Step 5: Solve for x
    x = 270,841,405.50/26,317
  6. Step 6: Final answer
    x = 10,291.50

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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.