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Finding the Fourth Proportional to 26,803, 40,213.50 and 12,000.52

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Solution

The fourth proportional to 26,803, 40,213.50 and 12,000.52 is: 18,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,803 : 40,213.50 = 12,000.52 : x
  2. Step 2: Convert to fraction form
    26,803/40,213.50 = 12,000.52/x
  3. Step 3: Cross multiply
    26,803x = 40,213.50 × 12,000.52
  4. Step 4: Simplify right side
    26,803x = 482,582,911.02
  5. Step 5: Solve for x
    x = 482,582,911.02/26,803
  6. Step 6: Final answer
    x = 18,004.81

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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.