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Finding the Fourth Proportional to 20,415, 30,622.50 and 6,564

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Solution

The fourth proportional to 20,415, 30,622.50 and 6,564 is: 9,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415 : 30,622.50 = 6,564 : x
  2. Step 2: Convert to fraction form
    20,415/30,622.50 = 6,564/x
  3. Step 3: Cross multiply
    20,415x = 30,622.50 × 6,564
  4. Step 4: Simplify right side
    20,415x = 201,006,090
  5. Step 5: Solve for x
    x = 201,006,090/20,415
  6. Step 6: Final answer
    x = 9,846

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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.