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Finding the Fourth Proportional to 17,803, 26,708.82 and 5,491

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Solution

The fourth proportional to 17,803, 26,708.82 and 5,491 is: 8,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,803 : 26,708.82 = 5,491 : x
  2. Step 2: Convert to fraction form
    17,803/26,708.82 = 5,491/x
  3. Step 3: Cross multiply
    17,803x = 26,708.82 × 5,491
  4. Step 4: Simplify right side
    17,803x = 146,658,130.62
  5. Step 5: Solve for x
    x = 146,658,130.62/17,803
  6. Step 6: Final answer
    x = 8,237.83

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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.