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Finding the Fourth Proportional to 9,049.45, 12,488.74 and 5,071.84

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Solution

The fourth proportional to 9,049.45, 12,488.74 and 5,071.84 is: 6,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.45 : 12,488.74 = 5,071.84 : x
  2. Step 2: Convert to fraction form
    9,049.45/12,488.74 = 5,071.84/x
  3. Step 3: Cross multiply
    9,049.45x = 12,488.74 × 5,071.84
  4. Step 4: Simplify right side
    9,049.45x = 63,340,847.18
  5. Step 5: Solve for x
    x = 63,340,847.18/9,049.45
  6. Step 6: Final answer
    x = 6,999.42

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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.