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Finding the Fourth Proportional to 10,639, 15,958.50 and 2,847.62

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Solution

The fourth proportional to 10,639, 15,958.50 and 2,847.62 is: 4,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,639 : 15,958.50 = 2,847.62 : x
  2. Step 2: Convert to fraction form
    10,639/15,958.50 = 2,847.62/x
  3. Step 3: Cross multiply
    10,639x = 15,958.50 × 2,847.62
  4. Step 4: Simplify right side
    10,639x = 45,443,743.77
  5. Step 5: Solve for x
    x = 45,443,743.77/10,639
  6. Step 6: Final answer
    x = 4,271.43

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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.