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Finding the Fourth Proportional to 26,643.60, 39,979.80 and 11,854.80

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Solution

The fourth proportional to 26,643.60, 39,979.80 and 11,854.80 is: 17,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,643.60 : 39,979.80 = 11,854.80 : x
  2. Step 2: Convert to fraction form
    26,643.60/39,979.80 = 11,854.80/x
  3. Step 3: Cross multiply
    26,643.60x = 39,979.80 × 11,854.80
  4. Step 4: Simplify right side
    26,643.60x = 473,952,533.04
  5. Step 5: Solve for x
    x = 473,952,533.04/26,643.60
  6. Step 6: Final answer
    x = 17,788.61

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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.