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Finding the Fourth Proportional to 17,710.88, 26,543.40 and 8,219.72

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Solution

The fourth proportional to 17,710.88, 26,543.40 and 8,219.72 is: 12,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.88 : 26,543.40 = 8,219.72 : x
  2. Step 2: Convert to fraction form
    17,710.88/26,543.40 = 8,219.72/x
  3. Step 3: Cross multiply
    17,710.88x = 26,543.40 × 8,219.72
  4. Step 4: Simplify right side
    17,710.88x = 218,179,315.85
  5. Step 5: Solve for x
    x = 218,179,315.85/17,710.88
  6. Step 6: Final answer
    x = 12,318.94

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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.