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Finding the Fourth Proportional to 30,535, 42,138.30 and 17,287

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Solution

The fourth proportional to 30,535, 42,138.30 and 17,287 is: 23,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535 : 42,138.30 = 17,287 : x
  2. Step 2: Convert to fraction form
    30,535/42,138.30 = 17,287/x
  3. Step 3: Cross multiply
    30,535x = 42,138.30 × 17,287
  4. Step 4: Simplify right side
    30,535x = 728,444,792.10
  5. Step 5: Solve for x
    x = 728,444,792.10/30,535
  6. Step 6: Final answer
    x = 23,856.06

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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.