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Finding the Fourth Proportional to 18,578.40, 27,868.50 and 7,483.59

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Solution

The fourth proportional to 18,578.40, 27,868.50 and 7,483.59 is: 11,225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578.40 : 27,868.50 = 7,483.59 : x
  2. Step 2: Convert to fraction form
    18,578.40/27,868.50 = 7,483.59/x
  3. Step 3: Cross multiply
    18,578.40x = 27,868.50 × 7,483.59
  4. Step 4: Simplify right side
    18,578.40x = 208,556,427.92
  5. Step 5: Solve for x
    x = 208,556,427.92/18,578.40
  6. Step 6: Final answer
    x = 11,225.75

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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.