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Finding the Fourth Proportional to 26,405.70, 39,609 and 8,875.68

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Solution

The fourth proportional to 26,405.70, 39,609 and 8,875.68 is: 13,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.70 : 39,609 = 8,875.68 : x
  2. Step 2: Convert to fraction form
    26,405.70/39,609 = 8,875.68/x
  3. Step 3: Cross multiply
    26,405.70x = 39,609 × 8,875.68
  4. Step 4: Simplify right side
    26,405.70x = 351,556,809.12
  5. Step 5: Solve for x
    x = 351,556,809.12/26,405.70
  6. Step 6: Final answer
    x = 13,313.67

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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.