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Finding the Fourth Proportional to 27,434, 41,146.68 and 11,856.08

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Solution

The fourth proportional to 27,434, 41,146.68 and 11,856.08 is: 17,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,434 : 41,146.68 = 11,856.08 : x
  2. Step 2: Convert to fraction form
    27,434/41,146.68 = 11,856.08/x
  3. Step 3: Cross multiply
    27,434x = 41,146.68 × 11,856.08
  4. Step 4: Simplify right side
    27,434x = 487,838,329.81
  5. Step 5: Solve for x
    x = 487,838,329.81/27,434
  6. Step 6: Final answer
    x = 17,782.25

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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.