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Finding the Fourth Proportional to 37,538, 51,802.80 and 20,771.36

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Solution

The fourth proportional to 37,538, 51,802.80 and 20,771.36 is: 28,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538 : 51,802.80 = 20,771.36 : x
  2. Step 2: Convert to fraction form
    37,538/51,802.80 = 20,771.36/x
  3. Step 3: Cross multiply
    37,538x = 51,802.80 × 20,771.36
  4. Step 4: Simplify right side
    37,538x = 1,076,014,607.81
  5. Step 5: Solve for x
    x = 1,076,014,607.81/37,538
  6. Step 6: Final answer
    x = 28,664.68

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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.