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Finding the Fourth Proportional to 30,800.62, 42,504.66 and 17,372

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Solution

The fourth proportional to 30,800.62, 42,504.66 and 17,372 is: 23,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.62 : 42,504.66 = 17,372 : x
  2. Step 2: Convert to fraction form
    30,800.62/42,504.66 = 17,372/x
  3. Step 3: Cross multiply
    30,800.62x = 42,504.66 × 17,372
  4. Step 4: Simplify right side
    30,800.62x = 738,390,953.52
  5. Step 5: Solve for x
    x = 738,390,953.52/30,800.62
  6. Step 6: Final answer
    x = 23,973.25

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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.