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Finding the Fourth Proportional to 28,271, 42,406.50 and 15,959

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Solution

The fourth proportional to 28,271, 42,406.50 and 15,959 is: 23,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,271 : 42,406.50 = 15,959 : x
  2. Step 2: Convert to fraction form
    28,271/42,406.50 = 15,959/x
  3. Step 3: Cross multiply
    28,271x = 42,406.50 × 15,959
  4. Step 4: Simplify right side
    28,271x = 676,765,333.50
  5. Step 5: Solve for x
    x = 676,765,333.50/28,271
  6. Step 6: Final answer
    x = 23,938.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.