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Finding the Fourth Proportional to 7,951.74, 11,930.98 and 4,253

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Solution

The fourth proportional to 7,951.74, 11,930.98 and 4,253 is: 6,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.74 : 11,930.98 = 4,253 : x
  2. Step 2: Convert to fraction form
    7,951.74/11,930.98 = 4,253/x
  3. Step 3: Cross multiply
    7,951.74x = 11,930.98 × 4,253
  4. Step 4: Simplify right side
    7,951.74x = 50,742,457.94
  5. Step 5: Solve for x
    x = 50,742,457.94/7,951.74
  6. Step 6: Final answer
    x = 6,381.30

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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.