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Finding the Fourth Proportional to 18,415, 27,622.50 and 6,103

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Solution

The fourth proportional to 18,415, 27,622.50 and 6,103 is: 9,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,415 : 27,622.50 = 6,103 : x
  2. Step 2: Convert to fraction form
    18,415/27,622.50 = 6,103/x
  3. Step 3: Cross multiply
    18,415x = 27,622.50 × 6,103
  4. Step 4: Simplify right side
    18,415x = 168,580,117.50
  5. Step 5: Solve for x
    x = 168,580,117.50/18,415
  6. Step 6: Final answer
    x = 9,154.50

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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.