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Finding the Fourth Proportional to 30,576.68, 42,192.06 and 17,999

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Solution

The fourth proportional to 30,576.68, 42,192.06 and 17,999 is: 24,836.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.68 : 42,192.06 = 17,999 : x
  2. Step 2: Convert to fraction form
    30,576.68/42,192.06 = 17,999/x
  3. Step 3: Cross multiply
    30,576.68x = 42,192.06 × 17,999
  4. Step 4: Simplify right side
    30,576.68x = 759,414,887.94
  5. Step 5: Solve for x
    x = 759,414,887.94/30,576.68
  6. Step 6: Final answer
    x = 24,836.41

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1.5x scale

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.