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Finding the Fourth Proportional to 30,938.52, 42,695.04 and 16,791.24

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Solution

The fourth proportional to 30,938.52, 42,695.04 and 16,791.24 is: 23,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.52 : 42,695.04 = 16,791.24 : x
  2. Step 2: Convert to fraction form
    30,938.52/42,695.04 = 16,791.24/x
  3. Step 3: Cross multiply
    30,938.52x = 42,695.04 × 16,791.24
  4. Step 4: Simplify right side
    30,938.52x = 716,902,663.45
  5. Step 5: Solve for x
    x = 716,902,663.45/30,938.52
  6. Step 6: Final answer
    x = 23,171.85

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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.