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Finding the Fourth Proportional to 30,533, 42,135.54 and 17,285

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Solution

The fourth proportional to 30,533, 42,135.54 and 17,285 is: 23,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,533 : 42,135.54 = 17,285 : x
  2. Step 2: Convert to fraction form
    30,533/42,135.54 = 17,285/x
  3. Step 3: Cross multiply
    30,533x = 42,135.54 × 17,285
  4. Step 4: Simplify right side
    30,533x = 728,312,808.90
  5. Step 5: Solve for x
    x = 728,312,808.90/30,533
  6. Step 6: Final answer
    x = 23,853.30

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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.