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Finding the Fourth Proportional to 26,499.57, 39,748.78 and 7,779.18

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Solution

The fourth proportional to 26,499.57, 39,748.78 and 7,779.18 is: 11,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,499.57 : 39,748.78 = 7,779.18 : x
  2. Step 2: Convert to fraction form
    26,499.57/39,748.78 = 7,779.18/x
  3. Step 3: Cross multiply
    26,499.57x = 39,748.78 × 7,779.18
  4. Step 4: Simplify right side
    26,499.57x = 309,213,073.18
  5. Step 5: Solve for x
    x = 309,213,073.18/26,499.57
  6. Step 6: Final answer
    x = 11,668.61

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1.5x scale

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.