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Finding the Fourth Proportional to 9,872, 13,621.50 and 6,098.42

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Solution

The fourth proportional to 9,872, 13,621.50 and 6,098.42 is: 8,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872 : 13,621.50 = 6,098.42 : x
  2. Step 2: Convert to fraction form
    9,872/13,621.50 = 6,098.42/x
  3. Step 3: Cross multiply
    9,872x = 13,621.50 × 6,098.42
  4. Step 4: Simplify right side
    9,872x = 83,069,628.03
  5. Step 5: Solve for x
    x = 83,069,628.03/9,872
  6. Step 6: Final answer
    x = 8,414.67

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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.