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Finding the Fourth Proportional to 27,309, 40,979.43 and 11,513.07

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Solution

The fourth proportional to 27,309, 40,979.43 and 11,513.07 is: 17,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309 : 40,979.43 = 11,513.07 : x
  2. Step 2: Convert to fraction form
    27,309/40,979.43 = 11,513.07/x
  3. Step 3: Cross multiply
    27,309x = 40,979.43 × 11,513.07
  4. Step 4: Simplify right side
    27,309x = 471,799,046.15
  5. Step 5: Solve for x
    x = 471,799,046.15/27,309
  6. Step 6: Final answer
    x = 17,276.32

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1.5x scale

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.