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Finding the Fourth Proportional to 27,979.60, 41,969.40 and 9,511.60

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Solution

The fourth proportional to 27,979.60, 41,969.40 and 9,511.60 is: 14,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,979.60 : 41,969.40 = 9,511.60 : x
  2. Step 2: Convert to fraction form
    27,979.60/41,969.40 = 9,511.60/x
  3. Step 3: Cross multiply
    27,979.60x = 41,969.40 × 9,511.60
  4. Step 4: Simplify right side
    27,979.60x = 399,196,145.04
  5. Step 5: Solve for x
    x = 399,196,145.04/27,979.60
  6. Step 6: Final answer
    x = 14,267.40

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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.