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Finding the Fourth Proportional to 30,464, 42,046.08 and 17,216

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Solution

The fourth proportional to 30,464, 42,046.08 and 17,216 is: 23,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464 : 42,046.08 = 17,216 : x
  2. Step 2: Convert to fraction form
    30,464/42,046.08 = 17,216/x
  3. Step 3: Cross multiply
    30,464x = 42,046.08 × 17,216
  4. Step 4: Simplify right side
    30,464x = 723,865,313.28
  5. Step 5: Solve for x
    x = 723,865,313.28/30,464
  6. Step 6: Final answer
    x = 23,761.34

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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.