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Finding the Fourth Proportional to 8,415, 12,628.26 and 2,943

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Solution

The fourth proportional to 8,415, 12,628.26 and 2,943 is: 4,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415 : 12,628.26 = 2,943 : x
  2. Step 2: Convert to fraction form
    8,415/12,628.26 = 2,943/x
  3. Step 3: Cross multiply
    8,415x = 12,628.26 × 2,943
  4. Step 4: Simplify right side
    8,415x = 37,164,969.18
  5. Step 5: Solve for x
    x = 37,164,969.18/8,415
  6. Step 6: Final answer
    x = 4,416.51

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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.