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Finding the Fourth Proportional to 18,583.40, 27,876 and 7,488.58

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Solution

The fourth proportional to 18,583.40, 27,876 and 7,488.58 is: 11,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.40 : 27,876 = 7,488.58 : x
  2. Step 2: Convert to fraction form
    18,583.40/27,876 = 7,488.58/x
  3. Step 3: Cross multiply
    18,583.40x = 27,876 × 7,488.58
  4. Step 4: Simplify right side
    18,583.40x = 208,751,656.08
  5. Step 5: Solve for x
    x = 208,751,656.08/18,583.40
  6. Step 6: Final answer
    x = 11,233.23

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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.