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Finding the Fourth Proportional to 30,774.42, 42,472.38 and 17,348.22

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Solution

The fourth proportional to 30,774.42, 42,472.38 and 17,348.22 is: 23,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.42 : 42,472.38 = 17,348.22 : x
  2. Step 2: Convert to fraction form
    30,774.42/42,472.38 = 17,348.22/x
  3. Step 3: Cross multiply
    30,774.42x = 42,472.38 × 17,348.22
  4. Step 4: Simplify right side
    30,774.42x = 736,820,192.16
  5. Step 5: Solve for x
    x = 736,820,192.16/30,774.42
  6. Step 6: Final answer
    x = 23,942.62

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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.