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Finding the Fourth Proportional to 37,637, 51,940.74 and 20,869.96

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Solution

The fourth proportional to 37,637, 51,940.74 and 20,869.96 is: 28,801.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,637 : 51,940.74 = 20,869.96 : x
  2. Step 2: Convert to fraction form
    37,637/51,940.74 = 20,869.96/x
  3. Step 3: Cross multiply
    37,637x = 51,940.74 × 20,869.96
  4. Step 4: Simplify right side
    37,637x = 1,084,001,166.17
  5. Step 5: Solve for x
    x = 1,084,001,166.17/37,637
  6. Step 6: Final answer
    x = 28,801.48

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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.