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Finding the Fourth Proportional to 27,776.82, 38,364.80 and 18,808.77

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Solution

The fourth proportional to 27,776.82, 38,364.80 and 18,808.77 is: 25,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.82 : 38,364.80 = 18,808.77 : x
  2. Step 2: Convert to fraction form
    27,776.82/38,364.80 = 18,808.77/x
  3. Step 3: Cross multiply
    27,776.82x = 38,364.80 × 18,808.77
  4. Step 4: Simplify right side
    27,776.82x = 721,594,605.25
  5. Step 5: Solve for x
    x = 721,594,605.25/27,776.82
  6. Step 6: Final answer
    x = 25,978.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.