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Finding the Fourth Proportional to 37,182, 51,312.39 and 20,415

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Solution

The fourth proportional to 37,182, 51,312.39 and 20,415 is: 28,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182 : 51,312.39 = 20,415 : x
  2. Step 2: Convert to fraction form
    37,182/51,312.39 = 20,415/x
  3. Step 3: Cross multiply
    37,182x = 51,312.39 × 20,415
  4. Step 4: Simplify right side
    37,182x = 1,047,542,441.85
  5. Step 5: Solve for x
    x = 1,047,542,441.85/37,182
  6. Step 6: Final answer
    x = 28,173.38

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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.