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Finding the Fourth Proportional to 37,954.50, 52,378.02 and 21,187.50

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Solution

The fourth proportional to 37,954.50, 52,378.02 and 21,187.50 is: 29,239.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,954.50 : 52,378.02 = 21,187.50 : x
  2. Step 2: Convert to fraction form
    37,954.50/52,378.02 = 21,187.50/x
  3. Step 3: Cross multiply
    37,954.50x = 52,378.02 × 21,187.50
  4. Step 4: Simplify right side
    37,954.50x = 1,109,759,298.75
  5. Step 5: Solve for x
    x = 1,109,759,298.75/37,954.50
  6. Step 6: Final answer
    x = 29,239.20

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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.