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Finding the Fourth Proportional to 28,459, 39,274.50 and 17,281

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Solution

The fourth proportional to 28,459, 39,274.50 and 17,281 is: 23,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,459 : 39,274.50 = 17,281 : x
  2. Step 2: Convert to fraction form
    28,459/39,274.50 = 17,281/x
  3. Step 3: Cross multiply
    28,459x = 39,274.50 × 17,281
  4. Step 4: Simplify right side
    28,459x = 678,702,634.50
  5. Step 5: Solve for x
    x = 678,702,634.50/28,459
  6. Step 6: Final answer
    x = 23,848.44

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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.