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Finding the Fourth Proportional to 40,698, 56,164.24 and 22,796.64

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Solution

The fourth proportional to 40,698, 56,164.24 and 22,796.64 is: 31,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698 : 56,164.24 = 22,796.64 : x
  2. Step 2: Convert to fraction form
    40,698/56,164.24 = 22,796.64/x
  3. Step 3: Cross multiply
    40,698x = 56,164.24 × 22,796.64
  4. Step 4: Simplify right side
    40,698x = 1,280,355,960.15
  5. Step 5: Solve for x
    x = 1,280,355,960.15/40,698
  6. Step 6: Final answer
    x = 31,459.92

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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.