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Finding the Fourth Proportional to 37,450.36, 51,680.78 and 20,683

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Solution

The fourth proportional to 37,450.36, 51,680.78 and 20,683 is: 28,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,450.36 : 51,680.78 = 20,683 : x
  2. Step 2: Convert to fraction form
    37,450.36/51,680.78 = 20,683/x
  3. Step 3: Cross multiply
    37,450.36x = 51,680.78 × 20,683
  4. Step 4: Simplify right side
    37,450.36x = 1,068,913,572.74
  5. Step 5: Solve for x
    x = 1,068,913,572.74/37,450.36
  6. Step 6: Final answer
    x = 28,542.14

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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.