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Finding the Fourth Proportional to 38,342.50, 52,913.82 and 20,880.97

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Solution

The fourth proportional to 38,342.50, 52,913.82 and 20,880.97 is: 28,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.50 : 52,913.82 = 20,880.97 : x
  2. Step 2: Convert to fraction form
    38,342.50/52,913.82 = 20,880.97/x
  3. Step 3: Cross multiply
    38,342.50x = 52,913.82 × 20,880.97
  4. Step 4: Simplify right side
    38,342.50x = 1,104,891,888.01
  5. Step 5: Solve for x
    x = 1,104,891,888.01/38,342.50
  6. Step 6: Final answer
    x = 28,816.38

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1.5x scale

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.