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Finding the Fourth Proportional to 26,580, 39,869.94 and 6,858.52

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Solution

The fourth proportional to 26,580, 39,869.94 and 6,858.52 is: 10,287.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580 : 39,869.94 = 6,858.52 : x
  2. Step 2: Convert to fraction form
    26,580/39,869.94 = 6,858.52/x
  3. Step 3: Cross multiply
    26,580x = 39,869.94 × 6,858.52
  4. Step 4: Simplify right side
    26,580x = 273,448,780.89
  5. Step 5: Solve for x
    x = 273,448,780.89/26,580
  6. Step 6: Final answer
    x = 10,287.76

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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.