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Finding the Fourth Proportional to 18,838, 28,262.04 and 6,526

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Solution

The fourth proportional to 18,838, 28,262.04 and 6,526 is: 9,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,838 : 28,262.04 = 6,526 : x
  2. Step 2: Convert to fraction form
    18,838/28,262.04 = 6,526/x
  3. Step 3: Cross multiply
    18,838x = 28,262.04 × 6,526
  4. Step 4: Simplify right side
    18,838x = 184,438,073.04
  5. Step 5: Solve for x
    x = 184,438,073.04/18,838
  6. Step 6: Final answer
    x = 9,790.75

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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.