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Finding the Fourth Proportional to 27,979, 41,968.50 and 9,511

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Solution

The fourth proportional to 27,979, 41,968.50 and 9,511 is: 14,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,979 : 41,968.50 = 9,511 : x
  2. Step 2: Convert to fraction form
    27,979/41,968.50 = 9,511/x
  3. Step 3: Cross multiply
    27,979x = 41,968.50 × 9,511
  4. Step 4: Simplify right side
    27,979x = 399,162,403.50
  5. Step 5: Solve for x
    x = 399,162,403.50/27,979
  6. Step 6: Final answer
    x = 14,266.50

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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.