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Finding the Fourth Proportional to 3,672.87, 5,065.08 and 2,415

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Solution

The fourth proportional to 3,672.87, 5,065.08 and 2,415 is: 3,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,672.87 : 5,065.08 = 2,415 : x
  2. Step 2: Convert to fraction form
    3,672.87/5,065.08 = 2,415/x
  3. Step 3: Cross multiply
    3,672.87x = 5,065.08 × 2,415
  4. Step 4: Simplify right side
    3,672.87x = 12,232,168.20
  5. Step 5: Solve for x
    x = 12,232,168.20/3,672.87
  6. Step 6: Final answer
    x = 3,330.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.