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Finding the Fourth Proportional to 27,309.33, 40,968.32 and 9,778.77

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Solution

The fourth proportional to 27,309.33, 40,968.32 and 9,778.77 is: 14,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,309.33 : 40,968.32 = 9,778.77 : x
  2. Step 2: Convert to fraction form
    27,309.33/40,968.32 = 9,778.77/x
  3. Step 3: Cross multiply
    27,309.33x = 40,968.32 × 9,778.77
  4. Step 4: Simplify right side
    27,309.33x = 400,619,729.67
  5. Step 5: Solve for x
    x = 400,619,729.67/27,309.33
  6. Step 6: Final answer
    x = 14,669.70

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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.