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Finding the Fourth Proportional to 17,930, 26,899.32 and 5,618

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Solution

The fourth proportional to 17,930, 26,899.32 and 5,618 is: 8,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,930 : 26,899.32 = 5,618 : x
  2. Step 2: Convert to fraction form
    17,930/26,899.32 = 5,618/x
  3. Step 3: Cross multiply
    17,930x = 26,899.32 × 5,618
  4. Step 4: Simplify right side
    17,930x = 151,120,379.76
  5. Step 5: Solve for x
    x = 151,120,379.76/17,930
  6. Step 6: Final answer
    x = 8,428.35

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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.