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Finding the Fourth Proportional to 29,583.34, 40,814.55 and 18,978.70

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Solution

The fourth proportional to 29,583.34, 40,814.55 and 18,978.70 is: 26,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,583.34 : 40,814.55 = 18,978.70 : x
  2. Step 2: Convert to fraction form
    29,583.34/40,814.55 = 18,978.70/x
  3. Step 3: Cross multiply
    29,583.34x = 40,814.55 × 18,978.70
  4. Step 4: Simplify right side
    29,583.34x = 774,607,100.09
  5. Step 5: Solve for x
    x = 774,607,100.09/29,583.34
  6. Step 6: Final answer
    x = 26,183.90

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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.