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Finding the Fourth Proportional to 10,873, 15,004.74 and 5,905

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Solution

The fourth proportional to 10,873, 15,004.74 and 5,905 is: 8,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873 : 15,004.74 = 5,905 : x
  2. Step 2: Convert to fraction form
    10,873/15,004.74 = 5,905/x
  3. Step 3: Cross multiply
    10,873x = 15,004.74 × 5,905
  4. Step 4: Simplify right side
    10,873x = 88,602,989.70
  5. Step 5: Solve for x
    x = 88,602,989.70/10,873
  6. Step 6: Final answer
    x = 8,148.90

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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.