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Finding the Fourth Proportional to 7,747.54, 11,630.94 and 7,712.02

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Solution

The fourth proportional to 7,747.54, 11,630.94 and 7,712.02 is: 11,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.54 : 11,630.94 = 7,712.02 : x
  2. Step 2: Convert to fraction form
    7,747.54/11,630.94 = 7,712.02/x
  3. Step 3: Cross multiply
    7,747.54x = 11,630.94 × 7,712.02
  4. Step 4: Simplify right side
    7,747.54x = 89,698,041.90
  5. Step 5: Solve for x
    x = 89,698,041.90/7,747.54
  6. Step 6: Final answer
    x = 11,577.62

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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.