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Finding the Fourth Proportional to 18,575.82, 27,856.80 and 7,478.76

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Solution

The fourth proportional to 18,575.82, 27,856.80 and 7,478.76 is: 11,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,575.82 : 27,856.80 = 7,478.76 : x
  2. Step 2: Convert to fraction form
    18,575.82/27,856.80 = 7,478.76/x
  3. Step 3: Cross multiply
    18,575.82x = 27,856.80 × 7,478.76
  4. Step 4: Simplify right side
    18,575.82x = 208,334,321.57
  5. Step 5: Solve for x
    x = 208,334,321.57/18,575.82
  6. Step 6: Final answer
    x = 11,215.35

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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.