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Finding the Fourth Proportional to 38,647.80, 57,971.70 and 18,964.80

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Solution

The fourth proportional to 38,647.80, 57,971.70 and 18,964.80 is: 28,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647.80 : 57,971.70 = 18,964.80 : x
  2. Step 2: Convert to fraction form
    38,647.80/57,971.70 = 18,964.80/x
  3. Step 3: Cross multiply
    38,647.80x = 57,971.70 × 18,964.80
  4. Step 4: Simplify right side
    38,647.80x = 1,099,421,696.16
  5. Step 5: Solve for x
    x = 1,099,421,696.16/38,647.80
  6. Step 6: Final answer
    x = 28,447.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.