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Finding the Fourth Proportional to 51,191.94, 70,650.62 and 28,533

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Solution

The fourth proportional to 51,191.94, 70,650.62 and 28,533 is: 39,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,191.94 : 70,650.62 = 28,533 : x
  2. Step 2: Convert to fraction form
    51,191.94/70,650.62 = 28,533/x
  3. Step 3: Cross multiply
    51,191.94x = 70,650.62 × 28,533
  4. Step 4: Simplify right side
    51,191.94x = 2,015,873,997.80
  5. Step 5: Solve for x
    x = 2,015,873,997.80/51,191.94
  6. Step 6: Final answer
    x = 39,378.74

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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.