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Finding the Fourth Proportional to 42,913.92, 64,361.04 and 11,751.60

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Solution

The fourth proportional to 42,913.92, 64,361.04 and 11,751.60 is: 17,624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,913.92 : 64,361.04 = 11,751.60 : x
  2. Step 2: Convert to fraction form
    42,913.92/64,361.04 = 11,751.60/x
  3. Step 3: Cross multiply
    42,913.92x = 64,361.04 × 11,751.60
  4. Step 4: Simplify right side
    42,913.92x = 756,345,197.66
  5. Step 5: Solve for x
    x = 756,345,197.66/42,913.92
  6. Step 6: Final answer
    x = 17,624.71

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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.