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Finding the Fourth Proportional to 11,618, 17,422.58 and 4,950.30

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Solution

The fourth proportional to 11,618, 17,422.58 and 4,950.30 is: 7,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618 : 17,422.58 = 4,950.30 : x
  2. Step 2: Convert to fraction form
    11,618/17,422.58 = 4,950.30/x
  3. Step 3: Cross multiply
    11,618x = 17,422.58 × 4,950.30
  4. Step 4: Simplify right side
    11,618x = 86,246,997.77
  5. Step 5: Solve for x
    x = 86,246,997.77/11,618
  6. Step 6: Final answer
    x = 7,423.57

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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.