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Finding the Fourth Proportional to 18,742, 28,105.26 and 7,641.16

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Solution

The fourth proportional to 18,742, 28,105.26 and 7,641.16 is: 11,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,742 : 28,105.26 = 7,641.16 : x
  2. Step 2: Convert to fraction form
    18,742/28,105.26 = 7,641.16/x
  3. Step 3: Cross multiply
    18,742x = 28,105.26 × 7,641.16
  4. Step 4: Simplify right side
    18,742x = 214,756,788.50
  5. Step 5: Solve for x
    x = 214,756,788.50/18,742
  6. Step 6: Final answer
    x = 11,458.58

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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.