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Finding the Fourth Proportional to 27,309.60, 40,958.64 and 9,780.48

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Solution

The fourth proportional to 27,309.60, 40,958.64 and 9,780.48 is: 14,668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.60 : 40,958.64 = 9,780.48 : x
  2. Step 2: Convert to fraction form
    27,309.60/40,958.64 = 9,780.48/x
  3. Step 3: Cross multiply
    27,309.60x = 40,958.64 × 9,780.48
  4. Step 4: Simplify right side
    27,309.60x = 400,595,159.35
  5. Step 5: Solve for x
    x = 400,595,159.35/27,309.60
  6. Step 6: Final answer
    x = 14,668.66

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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.