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Finding the Fourth Proportional to 26,821.59, 40,223.26 and 9,287.31

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Solution

The fourth proportional to 26,821.59, 40,223.26 and 9,287.31 is: 13,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,821.59 : 40,223.26 = 9,287.31 : x
  2. Step 2: Convert to fraction form
    26,821.59/40,223.26 = 9,287.31/x
  3. Step 3: Cross multiply
    26,821.59x = 40,223.26 × 9,287.31
  4. Step 4: Simplify right side
    26,821.59x = 373,565,884.83
  5. Step 5: Solve for x
    x = 373,565,884.83/26,821.59
  6. Step 6: Final answer
    x = 13,927.81

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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.