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Finding the Fourth Proportional to 30,638, 42,284.08 and 17,209.28

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Solution

The fourth proportional to 30,638, 42,284.08 and 17,209.28 is: 23,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638 : 42,284.08 = 17,209.28 : x
  2. Step 2: Convert to fraction form
    30,638/42,284.08 = 17,209.28/x
  3. Step 3: Cross multiply
    30,638x = 42,284.08 × 17,209.28
  4. Step 4: Simplify right side
    30,638x = 727,678,572.26
  5. Step 5: Solve for x
    x = 727,678,572.26/30,638
  6. Step 6: Final answer
    x = 23,750.85

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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.