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Finding the Fourth Proportional to 47,889, 71,833.50 and 15,057

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Solution

The fourth proportional to 47,889, 71,833.50 and 15,057 is: 22,585.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,889 : 71,833.50 = 15,057 : x
  2. Step 2: Convert to fraction form
    47,889/71,833.50 = 15,057/x
  3. Step 3: Cross multiply
    47,889x = 71,833.50 × 15,057
  4. Step 4: Simplify right side
    47,889x = 1,081,597,009.50
  5. Step 5: Solve for x
    x = 1,081,597,009.50/47,889
  6. Step 6: Final answer
    x = 22,585.50

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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.