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Finding the Fourth Proportional to 43,618.93, 65,375.58 and 19,894

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Solution

The fourth proportional to 43,618.93, 65,375.58 and 19,894 is: 29,816.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,618.93 : 65,375.58 = 19,894 : x
  2. Step 2: Convert to fraction form
    43,618.93/65,375.58 = 19,894/x
  3. Step 3: Cross multiply
    43,618.93x = 65,375.58 × 19,894
  4. Step 4: Simplify right side
    43,618.93x = 1,300,581,788.52
  5. Step 5: Solve for x
    x = 1,300,581,788.52/43,618.93
  6. Step 6: Final answer
    x = 29,816.91

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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.