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Finding the Fourth Proportional to 17,800, 26,702.16 and 5,488

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Solution

The fourth proportional to 17,800, 26,702.16 and 5,488 is: 8,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800 : 26,702.16 = 5,488 : x
  2. Step 2: Convert to fraction form
    17,800/26,702.16 = 5,488/x
  3. Step 3: Cross multiply
    17,800x = 26,702.16 × 5,488
  4. Step 4: Simplify right side
    17,800x = 146,541,454.08
  5. Step 5: Solve for x
    x = 146,541,454.08/17,800
  6. Step 6: Final answer
    x = 8,232.67

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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.