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Finding the Fourth Proportional to 26,188, 39,289.20 and 7,720

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Solution

The fourth proportional to 26,188, 39,289.20 and 7,720 is: 11,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,188 : 39,289.20 = 7,720 : x
  2. Step 2: Convert to fraction form
    26,188/39,289.20 = 7,720/x
  3. Step 3: Cross multiply
    26,188x = 39,289.20 × 7,720
  4. Step 4: Simplify right side
    26,188x = 303,312,624
  5. Step 5: Solve for x
    x = 303,312,624/26,188
  6. Step 6: Final answer
    x = 11,582.12

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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.