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Finding the Fourth Proportional to 11,415, 17,122.50 and 3,207

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Solution

The fourth proportional to 11,415, 17,122.50 and 3,207 is: 4,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415 : 17,122.50 = 3,207 : x
  2. Step 2: Convert to fraction form
    11,415/17,122.50 = 3,207/x
  3. Step 3: Cross multiply
    11,415x = 17,122.50 × 3,207
  4. Step 4: Simplify right side
    11,415x = 54,911,857.50
  5. Step 5: Solve for x
    x = 54,911,857.50/11,415
  6. Step 6: Final answer
    x = 4,810.50

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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.